IJPAM: Volume 112, No. 1 (2017)

Title

$\mathcal{T}$-CURVATURE ON LORENTZIAN $\alpha$-SASAKIAN MANIFOLDS

Authors

N.S. Ravikumar$^1$, K. Nagana Gouda$^2$, N. Srikantha$^3$
$^{1,2}$Department of Mathematics
Sri Siddhartha Academy of Higher Education
Hagalakote, Tumakuru, 572 105, Karnataka, INDIA
$^3$Department of Mathematics
Kuvempu University
Shankaraghatta, 577 451, Shimoga, Karnataka, INDIA

Abstract

We study Lorentzian $\alpha$-Sasakian manifolds endowed with a $\mathcal{T}$-curvature tensor which satisfies the conditions $\mathcal{T}(\xi,X)\cdot R=0$, $\mathcal{T}(\xi,X)\cdot S=0$, $\mathcal{T}$-flat, $\xi$-$\mathcal{T}$-flat. We also applied the results to several curvatures which are the particular cases of $\mathcal{T}$-curvature tensor.

History

Received: June 28, 2016
Revised: October 7, 2016
Published: January 26, 2017

AMS Classification, Key Words

AMS Subject Classification: 53C15, 53C25, 53C50
Key Words and Phrases: Lorentzian $\alpha$-Sasakian manifold, $\mathcal{T}$-curvature tensor, $\mathcal{T}$-flat, $\xi$-$\mathcal{T}$-flat, $\eta$-Einstein manifold

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How to Cite?

DOI: 10.12732/ijpam.v112i1.6 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: 112
Issue: 1
Pages: 81 - 91


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