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53C40 Global submanifolds (83 articles)

• Karmakar, Payel: Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold. (English). Mathematica Bohemica, vol. 149 (2024), issue 4, pp. 603-613
• Di Pinto, Dario; Lotta, Antonio: A Frankel type theorem for CR submanifolds of Sasakian manifolds. (English). Archivum Mathematicum, vol. 59 (2023), issue 5, pp. 369-381
• Karmakar, Payel: Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold. (English). Mathematica Bohemica, vol. 147 (2022), issue 3, pp. 419-434
• Okumura, Kazuhiro: A certain tensor on real hypersurfaces in a nonflat complex space form. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 4, pp. 1059-1077
• Zhao, Yan; Liu, Ximin: $f$-biminimal maps between Riemannian manifolds. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 893-905
• Kim, Young Ho; Maeda, Sadahiro; Tanabe, Hiromasa: Geometric properties of Lie hypersurfaces in a complex hyperbolic space. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 983-996
• Jin, Dae Ho; Lee, Jae Won: Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature. (English). Communications in Mathematics, vol. 27 (2019), issue 1, pp. 1-12
• Kim, Byung Hak; Kim, In-Bae; Maeda, Sadahiro: A characterization of a certain real hypersurface of type $({\rm A}_2)$ in a complex projective space. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 1, pp. 271-278
• Hwang, Doo Hyun; Pak, Eunmi; Woo, Changhwa: Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 4, pp. 989-1004
• De, Krishnendu; De, Uday Chand: Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 29-40
• Abedi, Esmaeil; Ziabari, Reyhane Bahrami; Tripathi, Mukut Mani: Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form. (English). Archivum Mathematicum, vol. 52 (2016), issue 2, pp. 113-130
• Wu, Xi Guo and Lan: The gap theorems for some extremal submanifolds in a unit sphere. (English). Communications in Mathematics, vol. 23 (2015), issue 1, pp. 85-93
• Pak, Eunmi; Pérez, Juan de Dios; Suh, Young Jin: Generalized Tanaka-Webster and Levi-Civita connections for normal Jacobi operator in complex two-plane Grassmannians. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 2, pp. 569-577
• Pak, Eunmi; de Dios Pérez, Juan; Machado, Carlos J. G.; Woo, Changhwa: Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel normal Jacobi operator. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 1, pp. 207-218
• Sasahara, Toru: Ideal CR submanifolds in non-flat complex space forms. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 79-90
• Lee, Hyunjin; Kim, Seonhui; Suh, Young Jin: Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition II. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 133-148
• Atçeken, Mehmet; Kumar Hui, Shyamal: Slant and pseudo-slant submanifolds in ${\rm LCS}$-manifolds. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 1, pp. 177-190
• Verhóczki, László: Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces $G_2$ and $G_2/SO(4)$. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 1, pp. 101-109
• Lee, Hyunjin; Kim, Seonhui; Suh, Young Jin: Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 3, pp. 849-861
• Rivertz, Hans Jakob: On local isometric immersions into complex and quaternionic projective spaces. (English). Archivum Mathematicum, vol. 47 (2011), issue 4, pp. 251-256
• Wei, Guoxin; Liu, Qiuli; Suh, Young Jin: Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_1^{n+1}(-1)$. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 2, pp. 343-351
• Kon, Mayuko: A characterization of totally $\eta$-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1279-1287
• Kowalski, Oldřich; Sekizawa, Masami: Invariance of $g$-natural metrics on linear frame bundles. (English). Archivum Mathematicum, vol. 44 (2008), issue 2, pp. 139-147
• Lyu, Seon Mi; Pérez, Juan de Dios; Suh, Young Jin: Real hypersurfaces in complex space forms concerned with the local symmetry. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 3, pp. 885-905
• Khan, V. A.; Khan, M. A.; Khan, K. A.: Slant and semi-slant submanifolds of a Kenmotsu manifold. (English). Mathematica Slovaca, vol. 57 (2007), issue 5, pp. [483]-494
• Wang, Qiaoling; Xia, Changyu: Topological and metric rigidity teorems for hypersurfaces in a hyperbolic space. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 435-445
• Fastenakels, Johan: Ideal tubular hypersurfaces in real space forms. (English). Archivum Mathematicum, vol. 42 (2006), issue 3, pp. 295-305
• Munteanu, Marian-Ioan: New aspects on CR-structures of codimension 2 on hypersurfaces of Sasakian manifolds. (English). Archivum Mathematicum, vol. 42 (2006), issue 1, pp. 69-84
• Wu, Bing-Ye: On the first eigenvalue of spacelike hypersurfaces in Lorentzian space. (English). Archivum Mathematicum, vol. 42 (2006), issue 3, pp. 233-238
• Ortega, Miguel; Pérez, Juan de Dios; Suh, Young Jin: Real hypersurfaces with constant totally real bisectional curvature in complex space forms. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 377-388
• Adachi, Toshiaki; Maeda, Sadahiro: Characterization of totally umbilic hypersurfaces in a space form by circles. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 203-207
• Liu, Ximin; Li, Hongxia: Complete hypersurfaces with constant scalar curvature in a sphere. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 3, pp. 567-575
• Chao, Xiaoli; Li, Yaowen: On totally real minimal submanifolds in complex projective space. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 107-116
• Bektaş, Mehmet: Totally real submanifolds in a quaternion space form. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 2, pp. 341-346
• Žádník, Vojtěch: Distinguished curves on 6-dimensional CR-manifolds of codimension 2. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 23rd Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2004. pp. [219]-230
• Funabashi, S.; Pak, J. S.; Shin, Y. J.: On the normality of an almost contact $3$-structure on $QR$-submanifolds. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 571-589
• Hájková, V.; Kowalski, O.; Sekizawa, M.: On three-dimensional hypersurfaces with type number two in $\Bbb H\sp 4$ and $\Bbb S\sp 4$ treated in intrinsic way. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 23rd Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2004. pp. [107]-126
• Burstall, Francis E.; Calderbank, David M. J.: Submanifold geometry in generalized flag manifolds. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 23rd Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2004. pp. [13]-41
• Lumiste, Ülo: Normally flat semiparallel submanifolds in space forms as immersed semisymmetric Riemannian manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 243-260
• Liu, Ximin: On Ricci curvature of totally real submanifolds in a quaternion projective space. (English). Archivum Mathematicum, vol. 38 (2002), issue 4, pp. 297-305
• Banaru, Mihail: On totally umbilical cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 41 (2002), issue 1, pp. (7)-12
• Chen, Bang-Yen: Ricci curvature of real hypersurfaces in complex hyperbolic space. (English). Archivum Mathematicum, vol. 38 (2002), issue 1, pp. 73-80
• Etayo, Fernando; Fioravanti, Mario; Trías, Ujué R.: The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 139-141
• Ki, U-Hang; Kimura, Makoto; Maeda, Sadahiro: Geometry of holomorphic distributions of real hypersurfaces in a complex projective space. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 197-204
• Banaru, Mihail: On six-dimensional $G_1$-submanifolds of Cayley algebra. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 40 (2001), issue 1, pp. 17-21
• Ortega, Miguel; Pérez, Juan de Dios; Suh, Young Jin: Real hypersurfaces with constant totally real sectional curvature in a complex space form. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 531-537
• Calvaruso, G.; Marinosci, R. A.; Perrone, D.: Three-dimensional curvature homogeneous hypersurfaces. (English). Archivum Mathematicum, vol. 36 (2000), issue 4, pp. 269-278
• Bektaṣ, M.; Ergüt, Mahmut: Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 38 (1999), issue 1, pp. 17-24
• Arvanitoyeorgos, Andreas; Beneki, Christina: Jacobi vector fields and geodesic tubes in certain Kähler manifolds. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 19th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2000. pp. 43-52
• González-Dávila, J. C.; Vanhecke, L.: Locally symmetric immersions. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 3, pp. 491-506
• De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L.: A pointwise inequality in submanifold theory. (English). Archivum Mathematicum, vol. 35 (1999), issue 2, pp. 115-128
• D‘Ambra, G.: Isometric immersions and induced geometric structures. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 18th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1999. pp. 13-23
• Kowalski, Oldřich; Vlášek, Zdeněk: On double-ruled hypersurfaces in $\bold R^4$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 2, pp. 407-411
• González-Dávila, J. C.; González-Dávila, M. C.; Vanhecke, L.: Transversally symmetric immersions. (English). Mathematica Bohemica, vol. 122 (1997), issue 3, pp. 273-294
• Kimura, Makoto; Maeda, Sadahiro: Lie derivatives on real hypersurfaces in a complex projective space. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 1, pp. 135-148
• D'Andrea, A. Carfagna; Mazzocco, R.; Romani, G.: Some characterizations of 2-symmetric submanifolds in spaces of constant curvature. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 4, pp. 691-711
• Gadea, P. M.; Amilibia, A. Montesinos: Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 4, pp. 741-756
• Kowalski, Oldřich: Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 451-457
• Rotondaro, Giovanni: On total curvature of immersions and minimal submanifolds of spheres. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 459-463
• Bueken, P.; Vanhecke, Lieven: Reflections with respect to submanifolds in contact geometry. (English). Archivum Mathematicum, vol. 29 (1993), issue 1, pp. 43-57
• Rotondaro, Giovanni: On the $Hp$-theorem for hypersurfaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 2, pp. 385-387
• Rotondaro, Giovanni: An integral formula for closed surfaces and a generalization of $Hp$-theorem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 253-254
• Opozda, Barbara: Totally real submanifolds of $S^6 (1)$ with parallel second fundamental form. (English). In: Frolík, Z., Souček, V. and Fabián, M. (eds.): Proceedings of the 14th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1987. pp. [247]-253
• Deprez, Johan; Verheyen, P.; Verstraelen, Leopold C. A.: Characterizations of conformally flat hypersurfaces. (English). Czechoslovak Mathematical Journal, vol. 35 (1985), issue 1, pp. 140-145
• Opozda, Barbara: Remark on mixed foliate generic submanifolds. (English). In: Frolík, Z., Souček, V. and Vinárek, J. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1985. pp. [199]-204
• Doebner, H. D.; Tolar, J.: Quantization on submanifolds. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [127]-132
• Olszak, Zbigniew: Almost cosymplectic real hypersurfaces in Kähler manifolds. (English). Archivum Mathematicum, vol. 18 (1982), issue 4, pp. 187-192
• Hineva, S. T.: Infinitesimal affine deformations of submanifolds of a Riemannian manifold. (English). Archivum Mathematicum, vol. 18 (1982), issue 4, pp. 177-182
• Kowalski, Oldřich: The volume conjecture and four-dimensional hypersurfaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 1, pp. 81-87
• Svoboda, Karel: Remark on one theorem of R. Schneider. (English). Archivum Mathematicum, vol. 17 (1981), issue 3, pp. 169-172
• Srovnal, Josef: On the geometry of a partial product structure. (English). Czechoslovak Mathematical Journal, vol. 30 (1980), issue 1, pp. 41-64
• Švec, Alois: On 3-dimensional CR-manifolds. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 18 (1979), issue 1, pp. 135-144
• Svoboda, Karel: Remark on surfaces in $E^4$ satisfying certain relations between covariant derivatives of the mean and Gauss curvatures. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 4, pp. 619-626
• Švec, Alois: On the rigidity of certain surfaces in $E^5$. (English). Czechoslovak Mathematical Journal, vol. 27 (1977), issue 2, pp. 250-257
• Svoboda, Karel: Remark to the characterization of the sphere in $E^4$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 715-722
• Švec, Alois: On infinitesimal isometries of surfaces in $E^4$. (English). Czechoslovak Mathematical Journal, vol. 26 (1976), issue 4, pp. 628-631
• Švec, Alois: On a global version of the Gauss-Bonnet theorem. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 4, pp. 638-644
• Fath el Bab, H.: On surfaces with constant mean curvature. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 16 (1975), issue 2, pp. 245-254
• Bureš, Jarolím: Some remarks on surfaces in the 4-dimensional Euclidean space. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 3, pp. 480-490
• Švec, Alois: On a group of holomorphic transformations in $\Cal C^2$. (English). Czechoslovak Mathematical Journal, vol. 24 (1974), issue 1, pp. 97-106
• Švec, Alois: On infinitesimal isometries of a hypersurface. (English). Czechoslovak Mathematical Journal, vol. 24 (1974), issue 1, pp. 150-163
• Boček, Leo: Untermannigfaltigkeiten von homogenen Räumen. (German) [Submanifolds of homogeneous spaces]. Czechoslovak Mathematical Journal, vol. 21 (1971), issue 1, pp. 1-4
• Kowalski, Oldřich: Vector bundles as an instrument of the metric and conformal differential geometry (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 12 (1971), issue 3, pp. 627-632