Existence results for the Yamabe problem on manifolds with boundary

Fernando C Marques

Keywords:

Given a compact Riemannian manifold with umbilic boundary, we prove existence of conformally related metrics of zero scalar curvature and constant mean curvature on the boundary, under hypotheses on the Weyl tensor. In order to carry out the estimates on the Sobolev quotient, we also prove existence of conformal Fermi coordinates.

Anexos:

• papercodafinal.dvi