Open AccessTorse-forming vector fields on $ m $ -spheres
Author(s) -
Amira A. Ishan,
Sharief Deshmukh
Publication year - 2022
Publication title -
aims mathematics
Language(s) - Uncategorized
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022169
Subject(s) - spheres , vector field , characterization (materials science) , manifold (fluid mechanics) , physics , riemannian manifold , field (mathematics) , mathematics , mathematical physics , chemistry , pure mathematics , geometry , optics , engineering , astronomy , mechanical engineering
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.