Non-Einstein relative Yamabe metrics

Published 12 Oct 2020 in math.DG | (2010.05385v2)

Abstract: In this paper, we give a sufficient condition for a positive constant scalar curvature metric on a manifold with boundary to be a relative Yamabe metric, which is a natural relative version of the classical Yamabe metric. We also give examples of non-Einstein relative Yamabe metrics with positive scalar curvature.

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Shota Hamanaka

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