Author | Berger, Marcel. author |
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Title | A Panoramic View of Riemannian Geometry [electronic resource] / by Marcel Berger |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003 |
Connect to | http://dx.doi.org/10.1007/978-3-642-18245-7 |
Descript | XXIII, 824 p. online resource |
1 Euclidean Geometry -- 2 Transition -- 3 Surfaces from Gauร to Today -- 4 Riemannโs Blueprints -- 5 A One Page Panorama -- 6 Metric Geometry and Curvature -- 7 Volumes and Inequalities on Volumes of Cycles -- 8 Transition: The Next Two Chapters -- 9 Spectrum of the Laplacian -- 10 Geodesic Dynamics -- 11 Best Metrics -- 12 From Curvature to Topology -- 13 Holonomy Groups and Kรคhler Manifolds -- 14 Some Other Important Topics -- 15 The Technical Chapter -- References -- Acknowledgements -- List of Notation -- List of Authors