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arXiv · 2304.08346

A Rigidity Result for Minimal Rotation Hypersurfaces of 5D Spaces of Constant Curvature

Aaron J. Tyrrell
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Abstract

In this paper we show that a particular extrinsic pointwise hypersurface invariant is always non-positive on minimal hypersurfaces of constant curvature spaces and vanishes identically if and only if the hypersurface is rotational. We show this for hypersurfaces of 5-dimensional spaces of constant curvature but we conjecture that this should generalize to a similar result in other dimensions.

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Aaron J. Tyrrell. 2023-04-17. A Rigidity Result for Minimal Rotation Hypersurfaces of 5D Spaces of Constant Curvature. https://arxiv.org/abs/2304.08346

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