Show Summary Details
- Title Pages
- Dedication
- Foreword
- Acknowledgments
-
Part I Fundamental Concepts -
0 Introduction -
1 Parallelizable Manifolds -
2 The Nonlinear Curvature -
3 Local Lie Groups -
4 The Centralizer -
5 ε-Invariance -
6 The Linear Curvature -
7 The Structure Object -
Part II Some Consequences -
8 The Nonlinear Spencer Sequence -
9 Deformations -
10 The de Rham Cohomology of an LLG -
11 The Linear Spencer Sequence -
12 The Secondary Characteristic Classes -
13 The Homogeneous Flow -
14 The Van Est Theorem -
15 The Symmetry Group -
Part III How to Generalize? -
16 Klein Geometries -
17 The Universal Jet Groupoids -
18 Embeddings of Klein Geometries into Universal Jet Groupoids -
19 The Definition of a Prehomogeneous Geometry (PHG) -
20 Curvature and Generalized PHGs - Appendix Torsion-Free Connections
- References
- Index
(p.ix) Acknowledgments
(p.ix) Acknowledgments
- Source:
- An Alternative Approach to Lie Groups and Geometric Structures
- Author(s):
Ercüment H. Ortaçgil
- Publisher:
- Oxford University Press
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- Title Pages
- Dedication
- Foreword
- Acknowledgments
-
Part I Fundamental Concepts -
0 Introduction -
1 Parallelizable Manifolds -
2 The Nonlinear Curvature -
3 Local Lie Groups -
4 The Centralizer -
5 ε-Invariance -
6 The Linear Curvature -
7 The Structure Object -
Part II Some Consequences -
8 The Nonlinear Spencer Sequence -
9 Deformations -
10 The de Rham Cohomology of an LLG -
11 The Linear Spencer Sequence -
12 The Secondary Characteristic Classes -
13 The Homogeneous Flow -
14 The Van Est Theorem -
15 The Symmetry Group -
Part III How to Generalize? -
16 Klein Geometries -
17 The Universal Jet Groupoids -
18 Embeddings of Klein Geometries into Universal Jet Groupoids -
19 The Definition of a Prehomogeneous Geometry (PHG) -
20 Curvature and Generalized PHGs - Appendix Torsion-Free Connections
- References
- Index
