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arXiv · 2010.05385

Non-Einstein relative Yamabe metrics

Shota Hamanaka
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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. 2020-10-12. Non-Einstein relative Yamabe metrics. https://arxiv.org/abs/2010.05385

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