Sharief Sadique Deshmukh

Ricci solitons are stationary solutions of a famous PDE for Riemannian metrics, known under the name of Ricci flflow equation. An almost Ricci soliton is a remarkable generalization of Ricci…

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-…

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…