Barycenter technique and the Riemann mapping problem of Escobar
Differential Geometry
2015-05-26 v1
Abstract
We solve the remaining cases of the Riemann mapping problem of Escobar. Indeed, performing a suitable scheme of the barycenter technique of Bahri-Coron via the Chen's bubbles, we solve the cases left open after the work of Chen. Thus, combining our work with the ones of Almaraz, Chen, Escobar and Marques we have that every compact Riemannian manifold with boundary of dimension greater or equal than 3 carries a conformal scalar flat metric with constant mean curvature.
Keywords
Cite
@article{arxiv.1505.06198,
title = {Barycenter technique and the Riemann mapping problem of Escobar},
author = {Martin Mayer and Cheikh Birahim Ndiaye},
journal= {arXiv preprint arXiv:1505.06198},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1505.06114