Skip navigation
Skip navigation

The intermediate case of the Yamabe problem for higher order curvatures

Trudinger, Neil; Wang, Xu-Jia

Description

In this paper, we prove the solvability, together with the compactness of the solution set, for the n/2-Yamabe problem on compact Riemannian manifolds of arbitrary even dimension n > 2. These results had previously been obtained by Chang, Gursky, and Yang for the case n = 4 and by Li and Li for locally conformally flat manifolds in all even dimensions. Our proof also applies to more generally prescribed symmetric functions of the Ricci curvatures.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/32204
Source: International Mathematics Research Notices
DOI: 10.1093/imrn/rnp227

Download

File Description SizeFormat Image
01_Trudinger_The_intermediate_case_of_the_2010.pdf184.16 kBAdobe PDF    Request a copy


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