Torse-forming vector fields on m -spheres

AIMS Mathematics

Amira Ishan¹  Sharief Deshmukh² 

[1] 1. Department of Mathematics, College of Science, Taif University, P.O.Box 11099, Taif 21944, Saudi Arabia;2. Department of Mathematics, College of Science, King Saud University, P.O.Box-2455, Riyadh-11451, Saudi Arabia;

关键词: torse-forming vector fields;    ricci operator;    ricci curvature;   

DOI  :  10.3934/math.2022169

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown