Differential Geometric Structures (Dover Books on

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Language: English

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Includes translation of Riemann's thesis, which laid the groundwork for modern manifold theory. By contrast, the curvature of a Riemannian manifold is a local (indeed, infinitesimal) invariant (and is the only local invariant under isometry). Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz’s theorem. Classical instruments allowed in geometric constructions are those with compass and straightedge. What does it mean for two lengths to be mutually commensurable?

Pages: 352

Publisher: Dover Publications; Dover Ed edition (June 5, 2007)

ISBN: 048645844X

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