Minimal Hypersurfaces in Hyperbolic Spaces

Minimal Hypersurfaces in Hyperbolic Spaces

Year:    2009

Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 4 : pp. 352–361

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 4 : pp. 352–361

Published online:    2009-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Hyperbolic space