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Isometric embedding: theory and applications

PDE and Applied Math Seminar

Speaker: Marshall Slemrod, University of Wisconsin, Madison/Israel
Location: zoom
Start time: Tue, Jan 18 2022, 12:10PM

In this talk I'll review some of the work over the last twenty years done both with my co-authors and others on the classical problem of isometric embedding of a Riemannian manifold into Euclidean space. Particular attention will be paid the Gauss-Codazzi-Ricci system whose resolution is both a necessary and sufficient condition for the sufficiently regular embeddings. Analogies with fluid systems will be given as well as applications to initial value problems.



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