Jost - Riemannian Geometry And Geometric Analysis, 4Ed , Springer, 2005.pdf

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Jürgen Jost
Riemannian Geometry
and Geometric Analysis
Fourth Edition
With 14 Figures
123
Jürgen Jost
Max Planck Institute
for Mathematics in the Sciences
Inselstr. 22
04103 Leipzig
Germany
e-mail: ******@
Mathematics Subject Classification (2000): 53B21, 53L20, 32C17, 35I60, 49-XX, 58E20,
57R15
Library of Congress Control Number: 2005925885
ISBN-10 3-540-25907-4 Springer Berlin Heidelberg New York
ISBN-13 978-3-540-25907-7 Springer Berlin Heidelberg New York
ISBN 3-540-42627-2 3rd ed. Springer-Verlag Berlin Heidelberg New York
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Dedicated to Shing-Tung Yau,
for so many discussions about
mathematics and Chinese culture
Preface
Riemannian geometry is characterized, and research is oriented towards and
shaped by concepts (geodesics, connections, curvature, ...) and objectives,