IJPAM: Volume 117, No. 1 (2017)

Title

ON $3$-DIMENSIONAL $\psi$-RECURRENT $(LCS)_{n}$-MANIFOLDS

Authors

Amit Prakash$^1$, Archana Srivastava$^2$, Mobin Ahmad$^3$
$^1$Department of Mathematics
National Institute of Technology
Kurukshetra, Haryana, 136119, INDIA
$^2$Department of Mathematics
S.R. Institute of Management & Technology
BKT Lucknow, 227 202, INDIA
$^3$Department of Mathematics
Integral University
Kursi Road Lucknow
226 026, INDIA

Abstract

The object of this paper is to study 3-dimensional $\psi$-recurrent $(LCS)_{n}$-manifold and prove that it is a manifold of constant curvature and finally we prove that a 3-dimensional $(LCS)_{n}$-manifold is locally $\psi$-concircularly symmetric if and only if the scalar curvature $r$ is constant.

History

Received: 2017-05-10
Revised: 2017-06-14
Published: November 29, 2017

AMS Classification, Key Words

AMS Subject Classification: 53C10, 53C15, 53C25
Key Words and Phrases: 3-dimensional $(LCS)_{n}$-manifold, $\eta$-Einstein manifold, $\varphi$-recurrent manifold, $\varphi$-concircularly symmetric

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v117i1.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 117
Issue: 1
Pages: 59 - 67


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