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
โฆ LIBER โฆ
The geometry of total curvature on complete open surfaces
โ Scribed by Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka
- Book ID
- 127422988
- Publisher
- Cambridge University Press
- Year
- 2003
- Tongue
- English
- Weight
- 1 MB
- Series
- Cambridge tracts in mathematics 159
- Category
- Library
- City
- Cambridge, U.K.; New York
- ISBN
- 0511065469
No coin nor oath required. For personal study only.
โฆ 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.
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