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The Geometry of Total Curvature on Complete Open Surfaces on Hardback by Katsuhiro Shiohama
The Geometry of Total Curvature on Complete Open Surfaces on Hardback by Katsuhiro Shiohama
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The Geometry of Total Curvature on Complete Open Surfaces

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Description

This is a self-contained account of how some modern ideas in differential geometry can be used to tackle and extend classical results in integral geometry. The authors investigate the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, though their work, much of which has never appeared in book form before, can be extended to more general spaces. Many classical results are introduced and then extended by the authors. The compactification of complete open surfaces is discussed, as are Busemann functions for rays. Open problems are provided in each chapter, and the text is richly illustrated with figures designed to help the reader understand the subject matter and get intuitive ideas about the subject. The treatment is self-contained, assuming only a basic knowledge of manifold theory, so is suitable for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.
Release date NZ
November 13th, 2003
Audience
  • Professional & Vocational
Illustrations
45 Line drawings, unspecified
Pages
294
Dimensions
161x236x21
ISBN-13
9780521450546
Product ID
1770241

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