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Pullback of measures on Riemannian manifolds
Authors:Florian Stampfer
Institution:University of Innsbruck, Technikerstr. 13, A-6020 Innsbruck, Austria
Abstract:A general formula for the pullback of measures on submanifolds of Riemannian manifolds is derived. We prove the equivalence of three different approaches to distributions supported on submanifolds, originating from Gelfand and Shilov, Friedlander, and a characterization using single-layer distributions, respectively.
Keywords:Distribution theory  Differential geometry  Pullback  Riemannian manifold  Single-layer distributions
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