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• W2125640569 startingPage "523" @default.
• W2125640569 abstract "In this note we prove that a generic Riemannian manifold of dimension $geq 3$ does not admit any nontrivial local conformal diffeomorphisms. This is a conformal analogue of a result of Sunada concerning local isometries, and makes precise the principle that generic manifolds in high dimensions do not have conformal symmetries. Consequently, generic manifolds of dimension $geq 3$ do not admit nontrivial conformal Killing vector fields near any point. As an application to the inverse problem of Calderón on manifolds, this implies that generic manifolds of dimension $geq 3$ do not admit limiting Carleman weights near any point." @default.
• W2125640569 created "2016-06-24" @default.
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• W2125640569 creator A5078087086 @default.
• W2125640569 date "2012-01-01" @default.
• W2125640569 modified "2023-10-14" @default.
• W2125640569 title "Nowhere conformally homogeneous manifolds and limiting Carleman weights" @default.
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• W2125640569 doi "https://doi.org/10.3934/ipi.2012.6.523" @default.
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