Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem

This paper explores and ties together three themes. The first is to establish regularity of a metric tensor, on a manifold with boundary, on which there are given Ricci curvature bounds, on the manifold and its boundary, and a Lipschitz bound on the mean curvature of the boundary. The second is to e...

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Veröffentlicht in:Inventiones mathematicae 2004-11, Vol.158 (2), p.261
Hauptverfasser: Anderson, Michael, Katsuda, Atsushi, Kurylev, Yaroslav, Lassas, Matti, Taylor, Michael
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Sprache:eng
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