diffeomorphism

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• Diffeomorphism — In mathematics, a diffeomorphism is an isomorphism in the category of smooth manifolds. It is an invertible function that maps one differentiable manifold to another, such that both the function and its inverse are smooth. The image of a… …   Wikipedia

• Diffeomorphism constraint — In theoretical physics, it is often important to study theories with the diffeomorphism symmetry such as general relativity. These theories are invariant under arbitrary coordinate transformations. Equations of motion are generally derived from… …   Wikipedia

• diffeomorphism — /dif ee oh mawr fiz euhm/, n. Math. a differentiable homeomorphism. [by contr.] * * * …   Universalium

• diffeomorphism — noun A differentiable homeomorphism (with differentiable inverse) between differentiable manifolds. See Also: diffeomorphic …   Wiktionary

• diffeomorphism — /dif ee oh mawr fiz euhm/, n. Math. a differentiable homeomorphism. [by contr.] …   Useful english dictionary

• Representation theory of diffeomorphism groups — In mathematics, a source for the representation theory of the group of diffeomorphisms of a smooth manifold M is the initial observation that (for M connected) that group acts transitively on M .HistoryA survey paper from 1975 of the subject by… …   Wikipedia

• Local diffeomorphism — In mathematics, a local diffeomorphism is a smooth map f : M rarr; N between smooth manifolds such that for every point p of M there exists an open neighbourhood U of p such that f ( U ) is open in N and f | U : U rarr; f ( U ) is a… …   Wikipedia

• Anosov diffeomorphism — In mathematics, more particularly in the fields of dynamical systems and geometric topology, an Anosov map on a manifold M is a certain type of mapping, from M to itself, with rather clearly marked local directions of expansion and contraction .… …   Wikipedia

• Large diffeomorphism — In mathematics and theoretical physics, a large diffeomorphism is a diffeomorphism that cannot be continuously connected to the identity diffeomorphism (because it is topologically non trivial).For example, a two dimensional real torus has a SL(2 …   Wikipedia

• Denjoy diffeomorphism — In mathematics, a Denjoy diffeomorphism is a diffeomorphism of a circle that has an irrational rotation number, but is not topologically conjugate to an irrational rotation. It is a theorem of Arnaud Denjoy [ See [http://www.math.sunysb.edu/… …   Wikipedia

• Event symmetry — The term Event symmetry describes invariance principles that have been used in some discrete approaches to quantum gravity where the diffeomorphism invariance of general relativity can be extended to a covariance under any permutation of… …   Wikipedia