Ebook: Global Riemannian Geometry: Curvature and Topology
- Tags: Global Analysis and Analysis on Manifolds, Differential Geometry, Manifolds and Cell Complexes (incl. Diff.Topology)
- Series: Advanced Courses in Mathematics CRM Barcelona
- Year: 2003
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
The book contains a clear exposition of two contemporary topics in modern differential geometry:
- distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature
- the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold.
It is intended for both graduate students and researchers who want to get a quick and modern introduction to these topics.
The book contains a clear exposition of two contemporary topics in modern differential geometry:
- distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature
- the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold.
It is intended for both graduate students and researchers who want to get a quick and modern introduction to these topics.
Content:
Front Matter....Pages i-viii
Distance Geometric Analysis on Manifolds....Pages 1-54
The Dirac Operator in Geometry and Physics....Pages 55-87
Back Matter....Pages 88-88
The book contains a clear exposition of two contemporary topics in modern differential geometry:
- distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature
- the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold.
It is intended for both graduate students and researchers who want to get a quick and modern introduction to these topics.
Content:
Front Matter....Pages i-viii
Distance Geometric Analysis on Manifolds....Pages 1-54
The Dirac Operator in Geometry and Physics....Pages 55-87
Back Matter....Pages 88-88
....