|
|
| |
| The Inverse Mean Curvature Flow in Rotationally Symmetric Spaces |
| |
Citation： |
Qi DING.The Inverse Mean Curvature Flow in Rotationally Symmetric Spaces[J].Chinese Annals of Mathematics B,2011,32(1):27~44 |
| Page view： 2086
Net amount： 1384 |
Authors： |
Qi DING; |
|
|
| Abstract： |
In this paper, the motion of inverse mean curvature flow which starts from a
closed star-sharped hypersurface in special rotationally symmetric spaces is studied. It is
proved that the flow converges to a unique geodesic sphere, i.e., every principle curvature
of the hypersurfaces converges to a same constant under the flow. |
Keywords： |
Asymptotic behavior, Inverse mean curvature flow, Hyperbolic space |
Classification： |
53B25, 53C40 |
|
|
Download PDF Full-Text
|
|
|
|
