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The Geometry of Total Curvature on Complete Open Surfaces

The Geometry of Total Curvature on Complete Open Surfaces

Hardcover

Series: Cambridge Tracts in Mathematics, Book 159

General MathematicsGeometry

ISBN10: 0521450543
ISBN13: 9780521450546
Publisher: Cambridge University Press
Published: Nov 13 2003
Pages: 294
Weight: 1.10
Height: 0.80 Width: 6.00 Depth: 9.00
Language: English
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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