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53B30 Lorentz metrics, indefinite metrics (54 articles)

• Çoruh Şenocak, Sevilay; Yüce, Salim: Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb {R}_2^3$ and $\mathbb {R}_1^2$. (English). Mathematica Bohemica, vol. 149 (2024), issue 4, pp. 549-567
• Dunn, Corey; Smith, Zoë: Algebraic restrictions on geometric realizations of curvature models. (English). Archivum Mathematicum, vol. 57 (2021), issue 3, pp. 175-194
• de Lima, Eudes L.; de Lima, Henrique F.; Lima, Eraldo A. Jr.; Medeiros, Adriano A.: Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 58 (2017), issue 2, pp. 183-196
• Randall, Matthew: Three dimensional near-horizon metrics that are Einstein-Weyl. (English). Archivum Mathematicum, vol. 53 (2017), issue 5, pp. 335-345
• Hui, Shyamal Kumar; Chakraborty, Debabrata: $\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 101-109
• Burlakov, Igor M.: Geometric Structures in Bundlesof Associative Algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 1, pp. 27-30
• Burlakov, Igor M.; Jukl, Marek: Geometry of Cyclic and Anticylic Algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 23-27
• Kuzmina, Irina A.; Chodorová, Marie: The Group of Invertible Elements of the Algebra of Quaternions. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 1, pp. 53-58
• Burlakov, Mikhail P.; Burlakov, Igor M.; Jukl, Marek: Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 1, pp. 31-38
• Mallick, Sahanous; De, Uday Chand: On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 111-127
• Baishya, Kanak Kanti; Peška, Patrik: On the Example of Almost Pseudo-Z-symmetric Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 1, pp. 5-10
• Aquino, Cícero P.; de Lima, Henrique F.: New characterizations of linear Weingarten hypersurfaces immersed in the hyperbolic space. (English). Archivum Mathematicum, vol. 51 (2015), issue 4, pp. 201-209
• Fotsing, Cyriaque Atindogbé and Hans Tetsing: Newton transformations on null hypersurfaces. (English). Communications in Mathematics, vol. 23 (2015), issue 1, pp. 57-83
• Mikeš, Josef; Strambach, Karl: Shells of monotone curves. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 3, pp. 677-699
• Caggegi, Andrea: Some Additive $2-(v, 5,\lambda )$ Designs. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 1, pp. 65-80
• Hinterleitner, Irena; Mikeš, Josef; Peška, Patrik: On $F^\varepsilon _2$-planar mappings of (pseudo-) Riemannian manifolds. (English). Archivum Mathematicum, vol. 50 (2014), issue 5, pp. 287-295
• Hinterleitner, Irena; Mikeš, Josef: On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds. (English). Archivum Mathematicum, vol. 49 (2013), issue 5, pp. 295-302
• Pravda, Vojtěch: Algebraic classification of the Weyl tensor: selected applications. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 214-223
• Chand De, Uday; De, Avik: On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 4, pp. 1055-1072
• Hinterleitner, Irena: On holomorphically projective mappings of $e$-Kähler manifolds. (English). Archivum Mathematicum, vol. 48 (2012), issue 5, pp. 333-338
• Dida, H. M.; Ikemakhen, A.: A class of metrics on tangent bundles of pseudo-Riemannian manifolds. (English). Archivum Mathematicum, vol. 47 (2011), issue 4, pp. 293-308
• Chudá, Hana; Mikeš, Josef: Conformally geodesic mappings satisfying a certain initial condition. (English). Archivum Mathematicum, vol. 47 (2011), issue 5, pp. 389-394
• Han, Yingbo; Feng, Shuxiang: The first eigenvalue of spacelike submanifolds in indefinite space form $R^{n+p}_p$. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 77-82
• de Lima, H. F.; Velásquez, M. A.: A new characterization of $r$-stable hypersurfaces in space forms. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 119-131
• Han, Yingbo; Feng, Shuxiang; Yu, Liju: On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric Lorentz spaces. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 151-161
• Kuzmina, Irina A.; Mikeš, Josef; Vanžurová, Alena: The Projectivization of Conformal Models of Fibrations Determined by the Algebra of Quaternions. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 50 (2011), issue 1, pp. 91-98
• Al Lamy, Raad J. K.: Holomorphically projective mappings of compact semisymmetric manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 49 (2010), issue 1, pp. 49-53
• Chepurna, Olena E.; Kiosak, Volodymyr A.; Mikeš, Josef: On geodesic mappings preserving the Einstein tensor. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 49 (2010), issue 2, pp. 49-52
• Han, Yingbo: Spacelike submanifolds in indefinite space form $M^{n+p}_p(c)$. (English). Archivum Mathematicum, vol. 46 (2010), issue 2, pp. 79-86
• Hinterleitner, Irena; Kiosak, Volodymyr: Special Einstein’s equations on Kähler manifolds. (English). Archivum Mathematicum, vol. 46 (2010), issue 5, pp. 333-337
• Ali, Ahmad T.; López, Rafael: Timelike $B_2$-slant helices in Minkowski space $\operatorname{E}_1^4$. (English). Archivum Mathematicum, vol. 46 (2010), issue 1, pp. 39-46
• 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
• Yücesan, Ahmet; Ayyildiz, Nihat: Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection. (English). Archivum Mathematicum, vol. 44 (2008), issue 1, pp. 77-88
• Hinterleitner, Irena; Kiosak, Volodymyr A.: $\phi({\rm Ric})$-vector fields in Riemannian spaces. (English). Archivum Mathematicum, vol. 44 (2008), issue 5, pp. 385-390
• Abdel-Baky, R. A.; Abd-Ellah, H. N.: Ruled W-surfaces in Minkowski 3-space $\Re _{1}^{3}$. (English). Archivum Mathematicum, vol. 44 (2008), issue 4, pp. 251-263
• Kim, Jaeman: 4-dimensional anti-Kähler manifolds and Weyl curvature. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 1, pp. 267-271
• Janyška, Josef: Geometric structures on the tangent bundle of the Einstein spacetime. (English). Archivum Mathematicum, vol. 42 (2006), issue 2, pp. 195-203
• al Lami, Raad J. K.; Škodová, Marie; Mikeš, Josef: On holomorphically projective mappings from equiaffine generally recurrent spaces onto Kählerian spaces. (English). Archivum Mathematicum, vol. 42 (2006), issue 5, pp. 291-299
• Al Lamy, Raad J.: Metric of special 2F-flat Riemannian spaces. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 44 (2005), issue 1, pp. 7-11
• Rachůnek, Lukáš; Mikeš, Josef: On tensor fields semiconjugated with torse-forming vector fields. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 44 (2005), issue 1, pp. 151-160
• Ye, Bing Wu: On the degeneration of harmonic sequences from surfaces into complex Grassmann manifolds. (English). Archivum Mathematicum, vol. 41 (2005), issue 3, pp. 273-280
• Škodová, Marie; Mikeš, Josef; Pokorná, Olga: On holomorphically projective mappings from equiaffine symmetric and recurrent spaces onto Kählerian spaces. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 24th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2005. pp. [309]-316
• Liu, Ximin; Junlei, Deng: Stable space-like hypersurfaces in the de Sitter space. (English). Archivum Mathematicum, vol. 40 (2004), issue 2, pp. 111-117
• Gilkey, P.; Nikčević, S.: Nilpotent spacelike Jordan Osserman pseudo-Riemannian 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. [99]-105
• Mikeš, Josef; Pokorná, Olga: On holomorphically projective mappings onto Kählerian spaces. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 21st Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2002. pp. [181]-186
• Mikeš, Josef; Rachůnek, Lukáš: $T$-semisymmetric spaces and concircular vector fields. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 21st Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2002. pp. [187]-193
• 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
• Alekseevsky, Dmitry; Blažić, Novica; Bokan, Neda; Rakić, Zoran: Self-duality and pointwise Osserman manifolds. (English). Archivum Mathematicum, vol. 35 (1999), issue 3, pp. 193-201
• Slovák, Jan: On invariant operations on pseudo-Riemannian manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 2, pp. 269-276
• Chisholm, J. S. R.; Farwell, R. S.: Clifford approach to metric manifolds. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1991. pp. [123]-133
• Branson, Thomas P.: Conformal transformation, conformal change, and conformal covariants. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1989. pp. [115]-134
• Schimming, Rainer: Lorentzian geometry as determined by the volumes of small truncated light cones. (English). Archivum Mathematicum, vol. 24 (1988), issue 1, pp. 5-15
• Dittrich, Jaroslav: On the topological charge conservation in the three-dimensional ${\rm O}(3)$ $\sigma$-model. (English). Aplikace matematiky, vol. 29 (1984), issue 5, pp. 367-371
• Rosca, Radu; Vanhecke, Lieven: Sur une classe de variétés pseudo-isotropes. (French) [On a class of pseudoisotropic varieties]. Archivum Mathematicum, vol. 9 (1973), issue 1, pp. 9-18