Article
Full entry |
PDF
(0.3 MB)
Feedback
PDF
(0.3 MB)
Feedback
Keywords:
torse-forming vector fields; Riemannian space; semisymmetric space; $T$-semisymmetric space
torse-forming vector fields; Riemannian space; semisymmetric space; $T$-semisymmetric space
Summary:
The paper deals with tensor fields which are semiconjugated with torse-forming vector fields. The existence results for semitorse-forming vector fields and for convergent vector fields are proved.
References:
[1] Kowolik J.: On some Riemannian manifolds admitting torse-forming vector fields. Dem. Math. 18, 3 (1985), 885–891. MR 0836831
[2] Mikeš J.: Geodesic mappings of affine-connected and Riemannian spaces. J. Math. Sci. New York 78, 3 (1996), 311–333. MR 1384327 | Zbl 0866.53028
[3] Mikeš J.: Geodesic Ricci mappings of two-symmetric Riemann spaces. Math. Notes 28 (1981), 622–624. Zbl 0454.53013
[4] Mikeš J., Rachůnek L.: $T$-semisymmetric spaces and concircular vector fields. Supplemento ai Rendiconti del Circolo Matematico di Palermo, II. Ser. 69 (2002), 187–193. MR 1972434
[5] Rachůnek L., Mikeš J.: Torse-forming vector fields in $T$-semisymmetric Riemannian spaces. Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25–30, 2000. Univ. Debrecen, Institute of Mathematics and Informatics, 2001, 219–229. MR 1859300 | Zbl 0994.53009
[6] Rachůnek L., Mikeš J.: On semitorse-forming vector fields. 3rd International Conference APLIMAT 2004, Bratislava, 835–840.
[7] Roter W.: On a class of conformally recurrent manifolds. Tensor N. S. 39 (1982), 207–217. MR 0836937 | Zbl 0518.53018
[8] Yano K.: On torse-forming directions in Riemannian spaces. Proc. Imp. Acad. Tokyo 20 (1944), 701–705. MR 0014778
Search
Partner of
