Riemannian Geometry, Geometric Analysis
2nd Edition
Published on 29. April 1998
Book
Paperback/Softback
455 pages
978-3-540-63654-0 (ISBN)
Description
This text on Riemannian geometry and geometric analysis is written for graduates and reseachers and includes material new to the late 1990s on Ginzburg-Landau, Seibert-Witten functionals, spin geometry and Dirac operators.
More details
Series
Edition
2nd edition
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Target group
College/higher education
Professional and scholarly
Graduate and Researchers
Illustrations
index
Dimensions
Height: 235 mm
Width: 155 mm
Weight
700 gr
ISBN-13
978-3-540-63654-0 (9783540636540)
DOI
10.1007/b68863
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Schweitzer Classification
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Content
Foundational material; De Rahm cohomology and harmonic differential form; parallel transport, connections, and covariant derivatives; geodesics and Jacobi fields; morse theory and closed geodesics; symmetric spaces and Kohler manifolds; the Palais-Smale condition and closed geodesics; harmonic maps; variational problems from quantum field theory. Appendix: linear elliptic partial differential equations; fundamental groups and covering spaces.