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arXiv · 2107.13246

The prescribed cross curvature problem on the three-sphere

Timothy Buttsworth·Artem Pulemotov
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Abstract

The paper studies the problem of prescribing positive cross curvature on the three-dimensional sphere. We produce several existence results and an example of non-uniqueness, disproving a conjecture of Hamilton's.

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Timothy Buttsworth, Artem Pulemotov. 2021-07-28. The prescribed cross curvature problem on the three-sphere. https://arxiv.org/abs/2107.13246

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