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arXiv · 2109.11768

Minimal hypertori in the four-dimensional sphere

Alessandro Carlotto·Mario B. Schulz
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Abstract

We prove that the four-dimensional round sphere contains a minimally embedded hypertorus, as well as infinitely many, pairwise non-isometric, immersed ones. Our analysis also yields infinitely many, pairwise non-isometric, minimally embedded hyperspheres and thus provides a self-contained solution to Chern's spherical Bernstein conjecture in dimensions four and six.

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Alessandro Carlotto, Mario B. Schulz. 2021-09-24. Minimal hypertori in the four-dimensional sphere. https://arxiv.org/abs/2109.11768

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