Bounds on Ricci curvature for doubly warped products pointwise bi-slant submanifolds and applications to physics-Reference-Cited by-同舟云学术

Bounds on Ricci curvature for doubly warped products pointwise bi-slant submanifolds and applications to physics

Published:2023 Issue:2 Volume:37 Page:505-518
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aquib Mohd¹,Aslam Mohd²,Shahid Mohammad²

Affiliation:

1. Department of Mathematics, Sri Venkateswara College, University of Delhi, New Delhi, India

2. Department of Mathematics, Jamia Millia Islamia, New Delhi, India

Abstract

In this article, we obtain bounds for Ricci curvature for doubly warped products pointwise bi-slant submanifolds in generalized complex space forms and discuss the equality case of the inequality. We also derive the non-existence of such immersions. Finally, we construct some applications of the result in terms of the Harmonic function, Hessian tensor, and Dirchilet energy function.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference22 articles.

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3. M. Aquib, Bounds for generalized normalized δ-casorati curvatures for bi-slant submanifolds in T-space forms, Filomat 32(1) (2018) 329-340.

4. M. Aquib, M. H. Shahid, M. Jamali, Lower extremities for generalized normalized δ-Casorati curvatures of bi-slant submanifolds in generalized complex space forms, Kragujevac Journal of Mathematics, 42(4) (2018) 591-605.

5. R. L. Bishop, B. O’Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1967) 1-49.

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