What is the tangent bundle?

Автор: Manifolds in Maryland

Загружено: 2022-01-26

Просмотров: 4331

Описание:

I will introduce the tangent bundle of a smooth manifold, from the point of view of function calculus on a manifold. At the end I show that the tangent bundle is a smooth manifold.

A good reference to learn this is do Carmo's "Differential Forms and Applications" Chapter 3.

Please like and subscribe if you would like to support the channel.

What is the tangent bundle?

Доступные форматы для скачивания:

Скачать видео mp4

Информация по загрузке:

Скачать аудио mp3

Похожие видео

The Hopf-Rinow Theorem

The Hopf-Rinow Theorem

Manifolds 21 | Tangent Space (Definition via tangent curves)

Manifolds 21 | Tangent Space (Definition via tangent curves)

Smooth Manifolds ep. 5 - What is a Smooth Manifold?

Smooth Manifolds ep. 5 - What is a Smooth Manifold?

Краткое введение в пучки волокон (волокно Хопфа)

Краткое введение в пучки волокон (волокно Хопфа)

Manifolds #5: Tangent Space (part 1)

Manifolds #5: Tangent Space (part 1)

Differential Forms: PART 1- TANGENT AND COTANGENT SPACES

Differential Forms: PART 1- TANGENT AND COTANGENT SPACES

Lecture1 Manifolds, tangent and cotangent bundles, coordinate transformations

Lecture1 Manifolds, tangent and cotangent bundles, coordinate transformations

Differential Forms | Introduction and the Tangent Space

Differential Forms | Introduction and the Tangent Space

Manifolds #7: Cotangent Space

Manifolds #7: Cotangent Space

Why Vector Bundles

Why Vector Bundles

Differential Geometry in Under 15 Minutes

Differential Geometry in Under 15 Minutes

Что такое касательные пространства в дифференциальной геометрии?

Что такое касательные пространства в дифференциальной геометрии?

What is Hodge theory?

What is Hodge theory?

Производная — это не то, что вы думаете.

Производная — это не то, что вы думаете.

The First Real Application of Category Theory #SoME3

The First Real Application of Category Theory #SoME3

Differential Forms: PART 1A: TANGENT SPACES (INTUITIVELY)

Differential Forms: PART 1A: TANGENT SPACES (INTUITIVELY)

What is a Manifold? Lesson 13: The tangent bundle - an illustration.

What is a Manifold? Lesson 13: The tangent bundle - an illustration.

Construction of the tangent bundle - Lec 10 - Frederic Schuller

Construction of the tangent bundle - Lec 10 - Frederic Schuller

Prerequisites III: Manifolds & Fiber Bundles - Maurice Weiler

Prerequisites III: Manifolds & Fiber Bundles - Maurice Weiler

Tangent bundles and vector fields

Tangent bundles and vector fields