. A P ] 1 3 A ug 2 00 2 A Riemann mapping type Theorem in higher dimensions Part I : the conformally flat case with umbilic boundary
نویسنده
چکیده
In this paper we prove that every Riemannian metric on a locally conformally flat manifold with umbilic boundary can be conformally deformed to a scalr flat metric having constant mean curvature. This result can be seen as a generalization to higher dimensions of the well known Riemann mapping Theorem in the plane.
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