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The Geometry of Total Curvature on Complete Open Surfaces 2024 pdf epub mobi 电子书

The Geometry of Total Curvature on Complete Open Surfaces
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发表于2024-09-19

The Geometry of Total Curvature on Complete Open Surfaces 2024 pdf epub mobi 电子书

The Geometry of Total Curvature on Complete Open Surfaces 2024 pdf epub mobi 电子书

The Geometry of Total Curvature on Complete Open Surfaces 2024 pdf epub mobi 电子书


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出版者:
作者:Shiohama, Katsuhiro; Shioya, Takashi; Tanaka, Minoru
出品人:
页数:294
译者:
出版时间:2003-11
价格:$ 150.29
装帧:
isbn号码:9780521450546
丛书系列:

图书标签: Math   

The Geometry of Total Curvature on Complete Open Surfaces 2024 pdf epub mobi 电子书 图书描述

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.

The Geometry of Total Curvature on Complete Open Surfaces 2024 pdf epub mobi 电子书
The Geometry of Total Curvature on Complete Open Surfaces 2024 pdf epub mobi 电子书
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The Geometry of Total Curvature on Complete Open Surfaces 2024 pdf epub mobi 电子书

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