• Title: Unit Normal Vector Field

• Series: Manifolds

• Chapter: Riemannian Manifolds

• YouTube-Title: Manifolds 37 | Unit Normal Vector Field

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• Subtitle on GitHub: mf37_sub_eng.srt missing

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• Timestamps

  00:00 Introduction

  00:50 Example picture

  02:20 Definition: normal vector field

  04:54 Definition: continuous unit normal vector field

  08:13 Connection between volume form and normal vector field for submanifolds

  11:39 Correction: Note that the orientations have to fit together such that the determinant gives a positive result for positively orientated vectors.

  12:52 Example: sphere in the three-dimensional space

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• Last update: 2025-09

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