An alternative approach to Lie groups and geometric structures /
Saved in:
Main Authors: | |
---|---|
Published: |
Oxford University Press,
|
Publisher Address: | Oxford, United Kingdom : |
Publication Dates: | 2018. |
Literature type: | Book |
Language: | English |
Edition: | First edition. |
Subjects: | |
Carrier Form: | xii, 211 pages ; 24 cm |
Bibliography: | Includes bibliographical references (pages [209]-211) and index. |
ISBN: |
9780198821656 0198821654 |
Index Number: | QA387 |
CLC: |
O186.1 O152.5 |
Call Number: | O152.5/O771 |
Contents: |
Part I. Fundamental Concepts; 0: Introduction; 1: ParallelizableManifolds; 2: The Nonlinear Curvature; 3: Local Lie Groups; 4: The Centralizer; 5: [epsilon]-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 to Generalize?; 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); Example 1; Example 2; Example 3; Example 4; 20: Curvature and Generalized PHGs; Appendix torsion-Free Connections; References; Index |