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)|
|Number of pages||8|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - Sep 20 2015|
Bibliographical noteFunding 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.
© 2014, Springer-Verlag Berlin Heidelberg.