Geometric Inequalities (Grundlehren der mathematischen

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Language: English

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Surgery theory is a collection of techniques used to produce one manifold from another in a 'controlled' way, introduced by Milnor ( 1961 ). In relation to surfaces, we consider geodesics, the Gauss-Bonnet theorem and the Euler characteristic. A special case are the solutions of Einstein's field equations, these hot Einstein manifolds .. We also mention other examples with infinite free homotopy classes. The common feature in their work is the use of smooth manifolds as the basic idea of space; they otherwise have rather different directions and interests.

Pages: 334

Publisher: Springer; 1988 edition (January 1988)

ISBN: 3540136150

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