Invariant submanifolds of f-Kenmotsu manifolds-Reference-Cited by-同舟云学术

Invariant submanifolds of f-Kenmotsu manifolds

Published:2022-08-30 Issue:14 Volume:19 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Khatri Mohan¹,Chaubey Sudhakar K.²^ORCID,Singh Jay Prakash¹

Affiliation:

1. Department of Mathematics and Computer Science, Mizoram University, Aizawl, Mizoram 796004, India

2. Section of Mathematics, Department of Information Technology, University of Technology and Applied Science-Shinas, P. O. Box 77, Postal Code 324, Oman

Abstract

In the present paper, we study the invariant submanifolds of [Formula: see text]-Kenmotsu manifolds. Firstly, we show that any invariant submanifold of [Formula: see text]-Kenmotsu manifold is again [Formula: see text]-Kenmotsu manifold and minimal. Then, we give some characterizations of totally geodesic submanifolds of [Formula: see text]-Kenmotsu manifolds. We study 3-dimensional submanifold and prove that a 3-dimensional submanifold of [Formula: see text]-Kenmotsu manifold is totally geodesic if and only if it is invariant. Also, [Formula: see text]-Ricci soliton is considered on invariant submanifold of [Formula: see text]-Kenmotsu manifolds. Lastly, the non-trivial examples are constructed to verify some of our obtained results.

Funder

Department of Science and Technology

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887822502255

Reference45 articles.

1. Certain results on invariant submanifolds of an almost Kenmotsu $$(\kappa ,\mu ,\nu )$$-space

2. Invariant, anti-invariant and slant submanifolds of a metallic manifold