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

C. do Rei Filho; S. Canevari

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

Differential Geometry 2023-05-04 v1

Authors: C. do Rei Filho , S. Canevari

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.

Keywords

minimal hypersurfaces principal curvatures isometric immersion space forms differential geometry

Cite

@article{arxiv.2305.02272,
  title  = {A class of minimal hypersurfaces in $\mathbb{Q}^N(c)$},
  author = {C. do Rei Filho and S. Canevari},
  journal= {arXiv preprint arXiv:2305.02272},
  year   = {2023}
}

Comments

17 pages

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