SOME RESULTS ON (LCS)n-MANIFOLDS

Title & Authors
SOME RESULTS ON (LCS)n-MANIFOLDS
Shaikh, Absos Ali;

Abstract
The object of the present paper is to study $\small{(LCS)_n}$-manifolds. Several interesting results on a $\small{(LCS)_n}$-manifold are obtained. Also the generalized Ricci recurrent $\small{(LCS)_n}$-manifolds are studied. The existence of such a manifold is ensured by several non-trivial new examples.
Keywords
(LCS)$\small{_n}$-manifold;conformally flat;generalized Ricci recurrent;$\small{\eta}$-Einstein;quasi constant curvature;
Language
English
Cited by
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On φ-pseudo Symmetries of (LCS)n-Manifolds,;

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2.
Slant Submanifolds of (LCS)n-manifolds,;;;

Kyungpook mathematical journal, 2014. vol.54. 4, pp.667-676
3.
SECOND ORDER PARALLEL TENSORS AND RICCI SOLITONS ON (LCS)n-MANIFOLDS,;;;

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1.
SECOND ORDER PARALLEL TENSORS AND RICCI SOLITONS ON (LCS)n-MANIFOLDS, Communications of the Korean Mathematical Society, 2015, 30, 2, 123
2.
On invariant submanifolds of (LCS)n-manifolds, Journal of the Egyptian Mathematical Society, 2016, 24, 2, 263
3.
Some Curvature Properties of -Manifolds, Abstract and Applied Analysis, 2013, 2013, 1
4.
Slant Submanifolds of (LCS)n-manifolds, Kyungpook mathematical journal, 2014, 54, 4, 667
5.
On φ-pseudo Symmetries of (LCS)n-Manifolds, Kyungpook mathematical journal, 2013, 53, 2, 285
References
1.
B. Y. Chen and K. Yano, Hypersurfaces of a conformally flat space, Tensor (N.S.) 26 (1972), 318–322

2.
U. C. De, N. Guha, and D. Kamilya, On generalized Ricci-recurrent manifolds, Tensor (N.S.) 56 (1995), no. 3, 312–317

3.
M. Kon, Invariant submanifolds in Sasakian manifolds, Math. Ann. 219 (1976), no. 3, 277–290

4.
K. Matsumoto, On Lorentzian paracontact manifolds, Bull. Yamagata Univ. Natur. Sci. 12 (1989), no. 2, 151–156

5.
B. O' Neill, Semi-Riemannian Geometry, Academic Press, New York, 1983

6.
A. A. Shaikh, On Lorentzian almost paracontact manifolds with a structure of the concircular type, Kyungpook Math. J. 43 (2003), no. 2, 305–314