Riemannian Submersions and Related Topics

Format: Hardcover

Language: English

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In Euclidean geometry, a set of elements existing within three dimensions has a metric space which is defined as the distance between two elements in the set. She must have access to each entire (global) object. However, the Theorema Egregium of Carl Friedrich Gauss showed that already for surfaces, the existence of a local isometry imposes strong compatibility conditions on their metrics: the Gaussian curvatures at the corresponding points must be the same.

Pages: 292

Publisher: World Scientific Pub Co Inc (June 21, 2004)

ISBN: 9812388966

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