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The geometry of total curvature on complete open surfaces

โœ Scribed by Shioya T., Shiohama K.

Book ID
127451909
Publisher
Cambridge University Press
Year
2003
Tongue
English
Weight
2 MB
Series
Cambridge tracts in mathematics 159
Edition
1
Category
Library
City
Cambridge, U.K.; New York
ISBN-13
9780521450546

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

The geometry of total curvature on compl
The geometry of total curvature on complete open surfaces
โœ Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka ๐Ÿ“‚ Library ๐Ÿ“… 2003 ๐Ÿ› Cambridge University Press ๐ŸŒ English โš– 1 MB

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 w