The Geometry of Total Curvature on Complete Open Surfaces di Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka edito da Cambridge University Press
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The Geometry of Total Curvature on Complete Open Surfaces

EAN:

9780521450546

ISBN:

0521450543

Pagine:
296
Formato:
Hardback
Lingua:
Inglese
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Descrizione The Geometry of Total Curvature on Complete Open Surfaces

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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