Inverse mean curvature flows in the hyperbolic 3-space revisited

Pei Ken Hung; Mu Tao Wang

doi:10.1007/s00526-014-0780-3

Inverse mean curvature flows in the hyperbolic 3-space revisited

Pei Ken Hung, Mu Tao Wang

Research output: Contribution to journal › Article › peer-review

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Abstract

This note revisits the inverse mean curvature flow in the 3-dimensional hyperbolic space. In particular, we show that the limiting shape is not necessarily round after scaling, thus resolving an inconsistency in the literature. The same conclusion is obtained for n-dimensional hyperbolic space as well.

Original language	English (US)
Pages (from-to)	119-126
Number of pages	8
Journal	Calculus of Variations and Partial Differential Equations
Volume	54
Issue number	1
DOIs	https://doi.org/10.1007/s00526-014-0780-3
State	Published - Sep 20 2015
Externally published	Yes

Bibliographical note

Funding Information:
The second author was supported by the National Science Foundation under grant DMS-1105483 and DMS-1405152. The authors would like to thank Andre Neves for his interest in this work.

Publisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.

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Inverse mean curvature flows in the hyperbolic 3-space revisited

Abstract

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