Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance (2506.19555v1)

Published 24 Jun 2025 in math.DG

Abstract: The round Taylor method uses rational arithmetic, allowing control of both round-off and truncation errors in approximating solutions of differential equations. In this paper, we employ this method together with the Poincare-Miranda theorem to prove the existence of a new embedded constant mean curvature (CMC) hypertorus in the unit four dimensional sphere

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Authors (1)

Oscar Perdomo

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