Curvature flow in hyperbolic spaces
We study the evolution of compact convex hypersurfaces in hyperbolic space ℍn+1, with normal speed governed by the curvature. We concentrate mostly on the case of surfaces, and show that under a large class of natural flows, any compact initial surface with Gauss curvature greater than 1 produces a solution which converges to a point in finite time, and becomes spherical as the final time is approached. We also consider the higher-dimensional case, and show that under the mean curvature flow a...[Show more]
|Collections||ANU Research Publications|
|Source:||Journal fur Reine und Angewandte Mathematik|
|Access Rights:||Open Access|
|01_Andrews_Curvature_flow_in_hyperbolic_2017.pdf||380.62 kB||Adobe PDF|
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