2017
Oct
24

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

12:00pm to 1:30pm

## Location:

Room 70A, Ross Building, Jerusalem, Israel

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.

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.