A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound
Analysis of PDEs
2014-10-14 v1 Differential Geometry
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 satisfies , which includes the Yamabe problem for not smaller than half of the dimension of the manifold.
Cite
@article{arxiv.1212.0460,
title = {A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound},
author = {YanYan Li and Luc Nguyen},
journal= {arXiv preprint arXiv:1212.0460},
year = {2014}
}