PSEUDO SYMMETRIC AND PSEUDO RICCI SYMMETRIC WARPED PRODUCT MANIFOLDS

Title & Authors
PSEUDO SYMMETRIC AND PSEUDO RICCI SYMMETRIC WARPED PRODUCT MANIFOLDS
De, Uday Chand; Murathan, Cengizhan; Ozgur, Cihan;

Abstract
We study pseudo symmetric (briefly $\small{(PS)_n}$) and pseudo Ricci symmetric (briefly $\small{(PRS)_n}$) warped product manifolds $\small{M{\times}_FN}$. If M is $\small{(PS)_n}$, then we give a condition on the warping function that M is a pseudosymmetric space and N is a space of constant curvature. If M is $\small{(PRS)_n}$, then we show that (i) N is Ricci symmetric and (ii) M is $\small{(PRS)_n}$ if and only if the tensor T defined by (2.6) satisfies a certain condition.
Keywords
warped product manifold;pseudo symmetric manifold;pseudo Ricci symmetric manifold;
Language
English
Cited by
1.
On φ-pseudo Symmetries of (LCS)n-Manifolds,;

Kyungpook mathematical journal, 2013. vol.53. 2, pp.285-294
1.
On φ-pseudo Symmetries of (LCS)n-Manifolds, Kyungpook mathematical journal, 2013, 53, 2, 285
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