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.
Citation: Amira Ishan, Sharief Deshmukh. Torse-forming vector fields on $ m $ -spheres[J]. AIMS Mathematics, 2022, 7(2): 3056-3066. doi: 10.3934/math.2022169
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.
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Amira Ishan, Sharief Deshmukh. Torse-forming vector fields on $ m $ -spheres[J]. AIMS Mathematics, 2022, 7(2): 3056-3066. doi: 10.3934/math.2022169
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