| Description |
1 online resource (xiii, 583 pages) |
| Series |
Universitext |
|
Universitext.
|
| Contents |
Foundational material -- De Rham cohomology and harmonic differential forms -- Parallel transport, connections, and covariant derivatives -- Geodesics and Jacobi fields -- Symmetric spaces and Kähler manifolds -- Morse theory and Floer homology -- Harmonic maps between Riemannian manifolds -- Harmonic maps from Riemann surfaces -- Variational problems from quantum field theory |
| Summary |
"This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry."--Jacket |
| Bibliography |
Includes bibliographical references (pages 561-576) and index |
| Notes |
English |
|
Print version record |
| Subject |
Geometry, Riemannian.
|
|
Geometry, Riemannian.
|
|
Geometría riemanniana
|
|
Geometry, Riemannian
|
| Form |
Electronic book
|
| ISBN |
9783540773412 |
|
354077341X |
|
3540773401 |
|
9783540773405 |
|
1281862282 |
|
9781281862280 |
|
