Corpus ID: 237634980

Minimal hypertori in the four-dimensional sphere

  title={Minimal hypertori in the four-dimensional sphere},
  author={Alessandro Carlotto and Mario B. Schulz},
  • A. Carlotto, Mario B. Schulz
  • Published 24 September 2021
  • Mathematics
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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