Ramesh Sharma

collaborators

3 papers

math.DG2025

A Conformal Quasi Einstein Characterization Of The Round Sphere

Ramesh Sharma

We extend the following result of Cochran ``A closed $m$ -quasi Einstein manifold ( $M, g, X$ ) with $m \neq = - 2$ has constant scalar curvature if and only if $X$ is Killing" covering the…

math.DG2022

Characterizations Of Weakly Conformally Flat And Quasi Einstein Manifolds

Ramesh Sharma

First, we show that a warped product of a line and a fiber manifold is weakly conformally flat and quasi Einstein if and only if the fiber is Einstein. Next, we characterize and cl…

gr-qc2022

Characterizations Of Umbilically Synchronized Space-times

Ramesh Sharma

We study umbilically synchronized space-times $M$ that have vanishing electric part of the Weyl tensor and show that (i) If $d im (M) = 4$ , then $M$ is conformally flat, (ii) If $dim…