Complete minimal hypersurfaces in a hyperbolic space $H^{4}(-1)$
Differential Geometry
2025-08-27 v1
Abstract
In this paper, we study -dimensional complete minimal hypersurfaces in a hyperbolic space of constant curvature . We prove that a -dimensional complete minimal hypersurface with constant scalar curvature in satisfies by making use of the Generalized Maximum Principle, where denotes the squared norm of the second fundamental form of the hypersurface.
Cite
@article{arxiv.2407.05406,
title = {Complete minimal hypersurfaces in a hyperbolic space $H^{4}(-1)$},
author = {Qing-Ming Cheng and Yejuan Peng},
journal= {arXiv preprint arXiv:2407.05406},
year = {2025}
}
Comments
17pages