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Abstract: Let M,g be a compact Riemannian manifold with boundary. This paperaddresses the Yamabe-type problem of finding a conformal scalar-flat metric onM, which has the boundary as a constant mean curvature hypersurface. When theboundary is umbilic, we prove an existence theorem that finishes some remainingcases of this problem.



Autor: Sergio Almaraz

Fuente: https://arxiv.org/







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