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The Geometry of Total Curvature on Complete Open Surfaces (Hardcover): Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka The Geometry of Total Curvature on Complete Open Surfaces (Hardcover)
Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka
R3,427 Discovery Miles 34 270
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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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