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December 2021 Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times
Nandan Bhunia, Sampa Pahan, Arindam Bhattacharyya
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SUT J. Math. 57(2): 93-107 (December 2021). DOI: 10.55937/sut/1641859456

Abstract

In this paper we study the pseudo-projective curvature tensor on warped product manifolds. We obtain some significant results of the pseudo-projective curvature tensor on warped product manifolds in terms of its base and fiber manifolds. Moreover, we derive some interesting results which describe the geometry of base and fiber manifolds for a pseudo-projectively at warped product manifold. Lastly, we study the pseudo-projective curvature tensor on generalized Robertson-Walker space-times and standard static space-times.

Acknowledgments

We would like to thank the referee for his valuable suggestions towards the improvement of the paper.

Citation

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Nandan Bhunia. Sampa Pahan. Arindam Bhattacharyya. "Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times." SUT J. Math. 57 (2) 93 - 107, December 2021. https://doi.org/10.55937/sut/1641859456

Information

Received: 20 September 2020; Published: December 2021
First available in Project Euclid: 21 April 2022

Digital Object Identifier: 10.55937/sut/1641859456

Subjects:
Primary: 53C21 , 53C25 , 53C50

Keywords: generalized Robertson-Walker space-times , pseudo-projective curvature tensor , standard static space-times , warped product

Rights: Copyright © 2021 Tokyo University of Science

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Vol.57 • No. 2 • December 2021
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