Torse-forming vector fields on $ m $ -spheres

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2022Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 7, pages 3,056-3,066 (issn: 2473-6988,

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Authors: Amira Ishan; Sharief Deshmukh;

doi: 10.3934/math.2022169

Torse-forming vector fields on $ m $ -spheres

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Abstract

<abstract><p>A characterization of an $ m $-sphere $ \mathbf{S}^{m}(a) $ is obtained using a non-trivial torse-forming vector field $ \zeta $ on an $ m $-dimensional Riemannian manifold.</p></abstract>

Related Organizations

King Saud University
Saudi Arabia
Taif University
Saudi Arabia

Keywords

torse-forming vector fields, ricci operator, QA1-939, Mathematics, ricci curvature

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