The Geometry of Total Curvature on Complete Open Surfaces (Hardcover) (ISBN-13: 9780521450546)

This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their work can be extended to more general spaces. Each chapter features open problems, making the volume a suitable learning aid for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.

Author: Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka
ISBN-10: 0521450543
ISBN-13: 9780521450546
Publisher: Cambridge University Press
Language: English
Published: 11/13/2003
Pages: 294
Format: Hardcover
Weight: 1.10lbs
Size: 9.00h x 6.00w x 0.80d