Riemannian Geometry-4 (An Example of Riemannian Manifold | The Unit Sphere)

Описание к видео Riemannian Geometry-4 (An Example of Riemannian Manifold | The Unit Sphere)

In this lecture, I will discuss how to compute the Riemannian metric (or Metric tensor) for an n-dimensional unit sphere sitting in R^(n+1).

Timestamps:

0:00 - Introduction
0:41 - Definition of Unit sphere and its parametrization
11:30 - Calculation of Metric Components
19:51 - Riemannian metric for 2-Sphere
24:11 - Riemannian metric for n-Sphere
26:59 : Exercise: Metric in Spherical coordinates

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