Buch, Englisch, 824 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1264 g
ISBN: 978-3-642-62121-5
Verlag: Springer
This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field.
From the reviews "The book has intrinsic value for a student as well as for an experienced geometer. Additionally, it is really a compendium in Riemannian Geometry." --MATHEMATICAL REVIEWS
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
1 Euclidean Geometry.- 2 Transition.- 3 Surfaces from Gauß to Today.- 4 Riemann’s 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 Kähler Manifolds.- 14 Some Other Important Topics.- 15 The Technical Chapter.- References.- Acknowledgements.- List of Notation.- List of Authors.
