Boundary regularity for the Ricci equation, geometric convergence, and Gel?fand?s inverse boundary problem
نویسندگان
چکیده
منابع مشابه
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 establish geometric convergence of a (sub)sequence of manifolds with boundary with such geometrica...
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15 صفحه اولMetric Tensor Estimates, Geometric Convergence, and Inverse Boundary Problems
Three themes are treated in the results announced here. The first is the 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 the geometric convergence of a (sub)sequence of manifolds with boundary with such geometrical bounds and a...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2004
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-004-0371-6