A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound

Yan Yan Li, Luc Nguyen

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We prove compactness of solutions of a fully nonlinear Yamabe problem satisfying a lower Ricci curvature bound, when the manifold is not conformally diffeomorphic to the standard sphere. This allows us to prove the existence of solutions when the associated cone Γ; satisfies μΓ;+≤1, which includes the σk-Yamabe problem for k not smaller than half of the dimension of the manifold.

Original languageEnglish (US)
Pages (from-to)3741-3771
Number of pages31
JournalJournal of Functional Analysis
Volume266
Issue number6
DOIs
StatePublished - Mar 15 2014

All Science Journal Classification (ASJC) codes

  • Analysis

Keywords

  • Compactness and existence of solutions
  • Fully nonlinear Yamabe problem

Fingerprint Dive into the research topics of 'A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound'. Together they form a unique fingerprint.

Cite this