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arXiv · 1809.03638

On the min-max width of unit volume three-spheres

Lucas Ambrozio·Rafael Montezuma
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Abstract

How large can be the width of Riemannian three-spheres of the same volume in the same conformal class? If a maximum value is attained, how does a maximising metric look like? What happens as the conformal class changes? In this paper, we investigate these and other related questions, focusing on the context of Simon-Smith min-max theory.

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Lucas Ambrozio, Rafael Montezuma. 2018-09-10. On the min-max width of unit volume three-spheres. https://arxiv.org/abs/1809.03638

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