Skip navigation
Skip navigation

Flow by powers of the Gauss curvature

Andrews, Ben; Guan, Pengfei; Ni, Lei

Description

We prove that convex hypersurfaces in Rⁿ⁺¹ contracting under the flow by any power α > 1/n+2 source of the Gauss curvature converge (after rescaling to fixed volume) to a limit which is a smooth, uniformly convex self-similar contracting solution of the flow. Under additional central symmetry of the initial body we prove that the limit is the round sphere for α≥1.

CollectionsANU Research Publications
Date published: 2016
Type: Journal article
URI: http://hdl.handle.net/1885/111424
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2016.05.008

Download

There are no files associated with this item.


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator