Skip navigation
Skip navigation
The system will be down for maintenance between 8:00 and 8:15am on Thursday 13, December 2018

Monotonicity formulae and curvature equations

Urbas, John

Description

We derive local integral estimates and monotonicity formulae for certain curvature quantities related to hypersurfaces of prescribed k-th mean curvature. We use these to improve interior curvature bounds established in previous work, and to derive a local Hölder gradient estimate for admissible solutions of the equation of prescribed scalar curvature.

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
URI: http://hdl.handle.net/1885/76488
Source: Journal fur Reine und Angewandte Mathematik

Download

File Description SizeFormat Image
01_Urbas_Monotonicity_formulae_and_2003.pdf178.57 kBAdobe PDF    Request a copy


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

Updated:  27 November 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator