Lecture

Riemannian metrics and gradients: Examples and Riemannian submanifolds

Description

This lecture covers the concept of Riemannian metrics on manifolds, defining them as smoothly varying metrics. Examples include Euclidean spaces and spheres. The lecture explores the embedding of manifolds in Euclidean spaces and the definition of Riemannian submanifolds using restricted inner products on tangent spaces.

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