Synthetic Geometry of Manifolds (Cambridge Tracts in

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Language: English

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Vector fields can be thought of as time-independent differential equations. A distance-preserving diffeomorphism between Riemannian manifolds is called an isometry. Also included are extensive tables of Lie algebras, Lie algebras of vectors and differential equations taken from the mathematics and mathematical physics literature. A significant theme which unites the areas that are the subject of this endeavour is the interface with other disciplines, both pure (topology, algebraic geometry) and applied (mathematical physics, especially gauge theory and string theory).

Pages: 312

Publisher: Cambridge University Press; 1 edition (December 21, 2009)

ISBN: 0521116732

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