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Research Article | Open Access

Torse-forming vector fields on m -spheres

Amira Ishan1, Sharief Deshmukh2( )
Department of Mathematics, College of Science, Taif University, P.O.Box 11099, Taif 21944, Saudi Arabia
Department of Mathematics, College of Science, King Saud University, P.O.Box-2455, Riyadh-11451, Saudi Arabia
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Abstract

A characterization of an m-sphere S m ( a ) is obtained using a non-trivial torse-forming vector field ζ on an m-dimensional Riemannian manifold.

Keywords

torse-forming vector fieldsRicci operatorRicci curvature
CLC number: 53C25, 83F05

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AIMS Mathematics
Volume 7 Issue 2,
February 2022
Pages 3056-3066
DOI: 10.3934/math.2022169

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Cite this article:
Ishan A, Deshmukh S. Torse-forming vector fields on m -spheres. AIMS Mathematics, 2022, 7(2): 3056-3066. https://doi.org/10.3934/math.2022169

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Received: 28 September 2021
Accepted: 11 November 2021
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)