An Alternative Approach to Lie Groups and Geometric Structures 1st Edition

An Alternative Approach to Lie Groups and Geometric Structures 1st Edition – Ebook Instant Download/Delivery ISBN(s): 9780198821656,0198821654,9780192554840, 0192554840

Product details:

• ISBN-10: 0192554840
• ISBN-13: 9780192554840
• Author:  Ercument H. Ortacgil 

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 Orta?gil 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.

Table contents:

Part I. FundamentalConcepts
0: Introduction
1: ParallelizableManifolds
2: The Nonlinear Curvature
3: Local Lie Groups
4: The Centralizer
5: ε-Invariance
6: The Linear Curvature
7: The Structure Object
PART II. SomeConsequences
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 toGeneralize?
Introduction to Part III
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)

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