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math.DG2024
On The Triviality Of -Modified Conformal Vector Fields
Rahul Poddar, Ramesh Sharma
We prove that a compact Riemannian manifold does not admit any non-trivial -modified homothetic vector fields. In the corresponding case of an -modified conformal vector…
math.DG2024
Extended Solitons of the Ambient Obstruction Flow
Erin Griffin, Rahul Poddar, Ramesh Sharma +1
In this paper we expand on the work of the first author on ambient obstruction solitons, which are self-similar solutions to the ambient obstruction flow. Our main result is to sho…