What is … a Riemannian manifold?

This page hosts information on Lara Skuppin's talk "What is … a Riemannian manifold?" at the "What is …?" seminar. The talk will take place on Friday, July 4, 1:00pm at the BMS Loft at Urania. This talk will help you better understand the talk by Christian Bär, which will start at 2pm.

Abstract

A Riemannian manifold is a smooth manifold together with a Riemannian metric giving rise to notions of geometric quantities such as length, angle, distance, volume and curvature. After discussing surfaces in R^3, I will give the definition of a Riemannian manifold and some examples, state the Nash embedding theorem, and explain a few properties.

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