On torse-forming vector fields and their applications in submanifold theory-Reference-Cited by-同舟云学术

On torse-forming vector fields and their applications in submanifold theory

Published:2023 Issue:13 Volume:37 Page:4261-4269
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Sarkar Avijit¹,De Uday²,Halder Suparna¹

Affiliation:

1. Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India

2. Department of Pure Mathematics, University of Calcutta, Ballygaunge Circular Road, Kolkata, West Bengal, India

Abstract

The present article utilises a property of torse-forming vector fields to deduce some criteria for invariant submanifolds of Riemannian manifolds to be totally geodesic. Certain features of submanifolds of Riemannian manifolds as ?-Ricci Bourguignon soliton have been developed.

Publisher

National Library of Serbia

Reference34 articles.

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3. Blaga, A. and Özgur, C., Remarks on submanifolds as almost η-Ricci Bourguignon solitons, Preprint.

4. Blaga, A. and Özgur, C., Almost η-Ricci and almost η-Yamabe solitons with torse-forming potential vector field. Quaest. Math., 45(2022), 143-163.

5. Catino, G., Cremaschi, L., Djadli, Z., Mantegazza, C. and Mazzieri, L., The Ricci-Bourguignon flow, Pacific J. Math., 287(2017), 337-330.

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