Minimal Hypersurfaces in Hyperbolic Spaces

Authors

  • Jun Sun

DOI:

https://doi.org/10.4208/jpde.v22.n4.4

Keywords:

Hyperbolic space;minimal hypersurfaces;mean curvature flow;comparison theorem

Abstract

In this paper, we reprove a theorem of M. Anderson [Invent. Math., 69 (1982), pp. 477-494] which established the existence of a minimal hypersurface in the hyperbolic space with prescribed asymptotic boundary with non-negative mean curvature in the non-parametric case. We use the mean curvature flow method.

Published

2020-05-12

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Section

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How to Cite

Minimal Hypersurfaces in Hyperbolic Spaces. (2020). Journal of Partial Differential Equations, 22(4), 352-361. https://doi.org/10.4208/jpde.v22.n4.4