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July 7, 20240 citationsOpen Access

Complete minimal hypersurfaces in a hyperbolic space H^4 (-1)

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QCQing-Ming ChengYPYejuan Peng

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Abstract

In this paper, we study n-dimensional complete minimal hypersurfaces in a hyperbolic space H^n+1 (-1) of constant curvature -1. We prove that a 3-dimensional complete minimal hypersurface with constant scalar curvature in H^4 (-1) satisfies S 2129 by making use of the Generalized Maximum Principle, where S denotes the squared norm of the second fundamental form of the hypersurface.

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Cite This Study

Cheng et al. (2024) studied this question.

synapsesocial.com/papers/68e6128fb6db6435875a52c2https://doi.org/10.48550/arxiv.2407.05406
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