Invariant submanifolds of hyperbolic Sasakian manifolds and η-Ricci-Bourguignon solitons-Reference-Cited by-同舟云学术

Invariant submanifolds of hyperbolic Sasakian manifolds and η-Ricci-Bourguignon solitons

Published:2022 Issue:2 Volume:36 Page:409-421
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Chaubey Sudhakar¹,Siddiqi Danish²,Prakasha D.G.³

Affiliation:

1. Section of Mathematics, Department of Information Technology, University of Technology and Applied Sciences-Shinas, Oman

2. Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia

3. Department of Studies in Mathematics, Davangere University, Shivagangothri Campus, Davangere, India

Abstract

We set the goal to study the properties of invariant submanifolds of the hyperbolic Sasakian manifolds. It is proven that a three-dimensional submanifold of a hyperbolic Sasakian manifold is totally geodesic if and only if it is invariant. Also, we discuss the properties of ?-Ricci-Bourguignon solitons on invariant submanifolds of the hyperbolic Sasakian manifolds. Finally, we construct a non-trivial example of a three-dimensional invariant submanifold of five-dimensional hyperbolic Sasakian manifold and validate some of our results.

Publisher

National Library of Serbia

Subject

General Mathematics

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