The Geometry of Total Curvature on Complete Open Surfaces

by Minoru Tanaka, Takashi Shioya, Katsuhiro Shiohama

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...

• Format: Hardcover
• Language: English
• ISBN: 0521450543
• ISBN13: 9780521450546
• Release Date: December 2003
• Publisher: Cambridge University Press
• Length: 294 Pages
• Weight: 1.10 lbs.
• Dimensions: 0.8" x 6.0" x 9.0"