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| Title Details: | |
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Vector fields |
|
| Authors: |
Arvanitogeorgos, Andreas |
| Reviewer: |
Platis, Ioannis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > GLOBAL DIFFERENTIAL GEOMETRY MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > APPLICATIONS TO PHYSICS |
| Keywords: |
Vector Field
Bump Function Smoothness of Vector Fields Integral Curves Local Flow Lie Bracket |
| Description: | |
| Abstract: |
Vector fields
|
| Table of Contents: |
- The tangent bundle
- Set-theoretic definition - Τοpology - Smooth structure - Vector bundles - Smoth bump functions - Partition of unity - Smooth vector fields - Intergral curves - Local flow - The Lie bracket - Problems |
| Linguistic Editors: |
Gyftopoulou, Ourania |
| Technical Editors: |
Christodoulopoulos, Elias |
| Graphic Editors: |
Statha, Marina |
| Type: |
Chapter |
| Creation Date: | 12-10-2015 |
| Item Details: | |
| License: |
Attribution – NonCommercial – NoDerivatives 4.0 International (CC BY-NC-ND 4.0) |
| Handle | http://hdl.handle.net/11419/153 |
| Bibliographic Reference: | Arvanitogeorgos, A. (2015). Vector fields [Chapter]. In Arvanitogeorgos, A. 2015. Geometry of Manifolds [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/153 |
| Language: |
Greek |
| Is Part of: |
Geometry of Manifolds |
| Number of pages |
21 |
| Publication Origin: |
Kallipos, Open Academic Editions |