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Title Details:
Geometry of Manifolds
Other Titles: Riemannian Manifolds and Lie Groups
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:
Differential (smooth) Manifold
Tensor
Riemannian Manifold
Lie Group
Homogeneous Space
Klein Geometry
Description:
Abstract: (+)
Table of Contents: (+)
Linguistic Editors: Gyftopoulou, Ourania
Type: Undergraduate textbook
Creation Date: 12-10-2015
Item Details:
ISBN 978-960-603-017-8
License: http://creativecommons.org/licenses/by-nc-nd/3.0/gr
Handle http://hdl.handle.net/11419/146
Bibliographic Reference: Arvanitogeorgos, A. (2015). Geometry of Manifolds [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/146
Language: Greek
Consists of: 1. The Euclidean space
2. Smooth manifolds
3. Riemannian manifolds
4. Lie groups
5. Homogeneous spaces - Klein's view of geometry
6. The differential of a smooth map
7. Vector fields
8. Curvature
9. The structure of a Lie group
10. The geometry of a Lie group
Number of pages 264
Publication Origin: Kallipos, Open Academic Editions