An Alternative Approach to Lie Groups and Geometric Structures
Oxford University Press (Verlag)
978-0-19-882165-6 (ISBN)
This book presents a new and innovative approach to Lie groups and differential geometry. Rather than compiling and reviewing the existing material on this classical subject, Professor Ortaçgil instead questions the foundations of the subject, and proposes a new direction.
Aimed at the curious and courageous mathematician, this book aims to provoke further debate and inspire further development of this original research.
Professor Ercüment Ortaçgil received his PhD from Johns Hopkins University in 1985, and then returned home to Turkey to join the mathematics department at Bogazici University, Istanbul. He retired in 2011, and set his mind to the writing this book to inspire further research on the seemingly elementary problems that have enamoured him throughout his career.
Fundemental concepts
1: Parallelizable manifolds
2: The nonlinear curvature
3: Local Lie Groups (LLG.s)
4: The centralizer
5: s-invariance
6: The linear curvature
7: The structure object
Some Consequences
8: The nonlinear Spencer sequence
9: Deformations
10: The de Rham cohomology of a LLG
11: The linear Spencer sequence
12: The secondary characteristic classes
13: The homogeneous flow
14: The Van Est Theorem
15: The symmetry group
How to Generalize
16: Klein geometries
17: The universal jet groupoids
18: Embeddings of Klein geometries into universal jet groupoids
19: The de.nition of a prehomogeneous geometry (PHG)
20: Curvature and generalized PHG.s
| Erscheinungsdatum | 19.07.2018 |
|---|---|
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 163 x 240 mm |
| Gewicht | 534 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-19-882165-4 / 0198821654 |
| ISBN-13 | 978-0-19-882165-6 / 9780198821656 |
| Zustand | Neuware |
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