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| Title Details: | |
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Geodesic curves |
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| Authors: |
Arvanitogeorgos, Andreas |
| Reviewer: |
Papantoniou, Vasilis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > CLASSICAL DIFFERENTIAL GEOMETRY |
| Description: | |
| Abstract: |
We define geodesics on a surface as curves whose covariant derivative of tangent vectors alog them are zero, as well as by using calculus of variations. We discuss gedesic curvature and exponential map.
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| Table of Contents: |
- Geodesic curves
- Geodesic curvature - Clairaut's theorem - Geodesics via calculus of variations - The exponential map - Solved problems - 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/11419/142 |
| Bibliographic Reference: | Arvanitogeorgos, A. (2015). Geodesic curves [Chapter]. In Arvanitogeorgos, A. 2015. Elementary Differential Geometry [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/142 |
| Language: |
Greek |
| Is Part of: |
Elementary Differential Geometry |
| Number of pages |
27 |
| Publication Origin: |
Kallipos, Open Academic Editions |