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| Title Details: | |
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Homogeneous spaces - Klein's view of geometry |
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| Authors: |
Arvanitogeorgos, Andreas |
| Reviewer: |
Platis, Ioannis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > GLOBAL DIFFERENTIAL GEOMETRY MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > TOPOLOGICAL GROUPS, LIE GROUPS > LIE GROUPS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > APPLICATIONS TO PHYSICS |
| Keywords: |
Action
Isotropy Group Homogeneous Space Reductive Homogeneous Space Spheres Grassmann Manifolds Stiefel Manifolds Flag Manifolds Projective Spaces G-invariant Metrics Levi-civita Connection Curvature |
| Description: | |
| Abstract: |
Θα γίνει μια σύντομη εισαγωγή στη θεωρία των ομογενών χώρων Μ = G/H, μια και η γεωμετρία τους γενικεύει τη γεωμετρία μιας ομάδας Lie. Οι ομογενείς χώροι αποτελούν την βάση της γεωμετρίας κατα Klein.
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| Table of Contents: |
- Group actions
- Coset manifolds - Reductive homogeneous spaces - The isotropy representation - G-invariant metrics and the Levi-Civita connection - Curvature - Problems |
| Linguistic Editors: |
Gyftopoulou, Ourania |
| Type: |
Chapter |
| Creation Date: | 12-10-2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| Handle | http://hdl.handle.net/11419/151 |
| Bibliographic Reference: | Arvanitogeorgos, A. (2015). Homogeneous spaces - Klein's view of geometry [Chapter]. In Arvanitogeorgos, A. 2015. Geometry of Manifolds [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/151 |
| Language: |
Greek |
| Is Part of: |
Geometry of Manifolds |
| Number of pages |
40 |
| Publication Origin: |
Kallipos, Open Academic Editions |