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math.DG2025
A Conformal Quasi Einstein Characterization Of The Round Sphere
Ramesh Sharma
We extend the following result of Cochran ``A closed -quasi Einstein manifold () with has constant scalar curvature if and only if 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…
math.DG2013★ 45 cited
Sasakian metric as a Ricci soliton and related results
Amalendu Ghosh, Ramesh Sharma
We prove the following results: (i) A Sasakian metric as a non-trivial Ricci soliton is null -Einstein, and expanding. Such a characterization permits to identify the Sasakian m…