Foundations of Differential Geometry, Volume 1

1. Auflage 1996
ISBN: 978-0-471-15733-5
Verlag: Wiley

Buch, Englisch, 352 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 565 g

This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques.

Autoren/Hrsg.

Kobayashi, Shoshichi

Nomizu, Katsumi

Inhaltsverzeichnis

Differentiable Manifolds.

Theory of Connections.

Linear and Affine Connections.

Riemannian Connections.

Curvature and Space Forms.

Transformations.

Appendices.

Notes.

Summary of Basic Notations.

Bibliography.

Index.

Über Autor(innen)

Shoshichi Kobayashi was born January 4, 1932 in Kofu, Japan. After obtaining his mathematics degree from the University of Tokyo and his Ph.D. from the University of Washington, Seattle, he held positions at the Institute for Advanced Study, Princeton, at MIT and at the University of British Columbia between 1956 and 1962, and then moved to the University of California, Berkeley, where he is now Professor in the Graduate School.
Kobayashi's research spans the areas of differential geometry of real and complex variables, and his numerous resulting publications include several book: Foundations of Differential Geometry with K. Nomizu, Hyperbolic Complex Manifolds and Holomorphic Mappings and Differential Geometry of Complex Vector Bundles.