On 3-dimensional \((lcs)_n\) Manifolds

Volume 8, Issue 2, pp 180-186 http://dx.doi.org/10.22436/jmcs.08.02.08

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Authors

Sunil Kumar Srivastava - Department of Science & Humanities Columbia Institute of Engineering and Technology, Raipur (INDIA). Vibhawari Srivastava - Department of Mathematics & Statistics D. D. U Gorakhpur University Gorakhpur (INDIA).

Abstract

The object of the present paper is to study 3–dimensional \((lcs)_n\) which are Ricci semi symmetric, Locally \(\phi\)-symmetric and ɳ parallel Ricci tensor and proved that 3 dimensional; Ricci semi-symmetric \((lcs)_n\) manifolds is a manifold of constant curvature and also shown that such a manifold is locally \(\phi\)-symmetric and with \(\eta\) parallel Ricci tensor is also locally \(\phi\)-symmetric.

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Keywords

• \((lcs)_n\) manifolds
• Ricci semi symmetric
• locally \(\phi\)-symmetric.

MSC

•  53C15
•  53C50
•  53B30

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