Sharief Sadique Deshmukh

We aim to examine the influence of the existence of a nonzero eigenvector z of the de-Rham
operator G on a k-dimensional Riemannian manifold (Nk, g). If the vector z annihilates the de-Rham…

The Fischer-Marsden conjecture asserts that an n-dimensional compact manifold admitting a nontrivial solution of the so-called Fischer-Marsden differential equation is necessarily an Einstein…

We use a nontrivial concircular vector field u on the unit sphere Sn+1 in studying
geometry of its hypersurfaces. An orientable hypersurface M of the unit sphere Sn+1
naturally…