# Minimal hypertori in the four-dimensional sphere

@inproceedings{Carlotto2021MinimalHI, title={Minimal hypertori in the four-dimensional sphere}, author={Alessandro Carlotto and Mario B. Schulz}, year={2021} }

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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