eBook - PDF

The Geometry of Total Curvature on Complete Open Surfaces

Name: The Geometry of Total Curvature on Complete Open Surfaces
ISBN: 9780511059155

Katsuhiro Shiohama,

Takashi Shioya,

Minoru Tanaka,

English
PDF
Available on iOS & Android

eBook - PDF

The Geometry of Total Curvature on Complete Open Surfaces

Katsuhiro Shiohama,

Takashi Shioya,

Minoru Tanaka,

About this book

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.

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Yes, you can access The Geometry of Total Curvature on Complete Open Surfaces by Katsuhiro Shiohama,Takashi Shioya,Minoru Tanaka in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.