A class of minimal hypersurfaces in $\mathbb{Q}^N(c)$

C. do Rei Filho; S. Canevari

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arXiv · 2305.02272

A class of minimal hypersurfaces in $\mathbb{Q}^N(c)$

C. do Rei Filho·S. Canevari

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Abstract

We prove that a minimal hypersurfaces $f\colon M^{3} \to \mathbb{Q}^4(c)$ with nonzero three distinct principal curvature cannot be isometrically immersed in $\mathbb{Q}^4(\tilde{c}), \ \tilde{c}\neq c$. In the other cases, we present a description of such hypersurfaces.

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BibTeX RIS

C. do Rei Filho, S. Canevari. 2023-05-03. A class of minimal hypersurfaces in $\mathbb{Q}^N(c)$. https://arxiv.org/abs/2305.02272

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