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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 that have vanishing electric part of the Weyl tensor and show that (i) If , then is conformally flat, (ii) If $dim…