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

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Shiohama, Katsuhiro; Shioya, Takashi; Tanaka, Minoru

2003-11

294

$ 150.29

9780521450546

图书标签: Math

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发表于2024-11-25

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

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

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 下载 mobi epub pdf txt 电子书