An existence theorem of conformal scalar-flat metrics on manifolds with boundary
Differential Geometry
2010-12-24 v1 Analysis of PDEs
Abstract
Let (M,g) be a compact Riemannian manifold with boundary. This paper addresses the Yamabe-type problem of finding a conformal scalar-flat metric on M, which has the boundary as a constant mean curvature hypersurface. When the boundary is umbilic, we prove an existence theorem that finishes some remaining cases of this problem.
Keywords
Cite
@article{arxiv.0907.0798,
title = {An existence theorem of conformal scalar-flat metrics on manifolds with boundary},
author = {Sergio Almaraz},
journal= {arXiv preprint arXiv:0907.0798},
year = {2010}
}
Comments
22 pages