Communications of the
Korean Mathematical Society
CKMS
Article
ALL ARTICLES
View
Commun. Korean Math. Soc. 2012; 27(4): 781-793
Printed December 1, 2012
https://doi.org/10.4134/CKMS.2012.27.4.781
Copyright © The Korean Mathematical Society.
Semi-Riemannian submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection
Ahmet Y\"ucesan and Erol Yasar
S\"uleyman Demirel University, Mersin University
We study some properties of a semi-Riemannian submanifold of a semi-Riemannian manifold with a semi-symmetric non-metric connection. Then, we prove that the Ricci tensor of a semi-Riemannian submanifold of a semi-Riemannian space form admitting a semi-symmetric non-metric connection is symmetric but is not parallel. Last, we give the conditions under which a totally umbilical semi-Riemannian submanifold with a semi-symmetric non-metric connection is projectively flat.
Keywords: semi-symmetric non-metric connection, Levi-Civita connection, semi-Riemannian submanifold, Ricci tensor, projectively flat
MSC numbers: 53B15, 53B30, 53C05
Article Tools
Stats or Metrics
Share this article on :
Related articles in CKMS
-
Complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles
2023; 38(4): 1233-1247
-
Half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection
2017; 32(1): 119-133
-
Ascreen lightlike hypersurfaces of a semi-Riemannian space form with a semi-symmetric non-metric connection
2014; 29(2): 311-317
-
On 6-dimensional quasi-kaehler manifolds with pointwise constant holomorphic sectional curvature
1997; 12(1): 87-99
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd