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arXiv · 2109.06020

On a Sharp Inequality Relating Yamabe Invariants on a Poincare-Einstein Manifold

Xiaodong Wang·Zhixin Wang
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Abstract

For a Poincare-Einstein manifold under certain restrictions, X. Chen, M. Lai and F. Wang proved a sharp inequality relating Yamabe invariants. We show that the inequality is true without any restriction.

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Xiaodong Wang, Zhixin Wang. 2021-09-13. On a Sharp Inequality Relating Yamabe Invariants on a Poincare-Einstein Manifold. https://arxiv.org/abs/2109.06020

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