T&G: Asaf Shachar (Hebrew University), Riemannian embeddings of minimal distortion

This talk revolves around the question of how close is one Riemannian manifold to being isometrically immersible in another. We associate with every mapping $f:(M,g) \to (N,h)$ a measure of distortion - an average distance of $df$ from being an isometry. Reshetnyak's theorem states that a sequence of mappings between Euclidean domains whose distortion tends to zero has a subsequence converging to an isometry. I will present a generalization of Reshetnyak’s theorem to the general Riemannian setting.

Date: 

Tue, 24/10/2017 - 12:00 to 13:30

Location: 

Room 70A, Ross Building, Jerusalem, Israel