diffeomorphism

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diffeomorphism

[‚dif·ē·ə′mȯr·fiz·əm]
(mathematics)
A bijective function, with domain and range in the same or different Euclidean spaces, such that both the function and its inverse have continuous mixed partial derivatives of all orders in neighborhoods of each point of their respective domains.
References in periodicals archive ?
The set of all such warpings is called the diffeomorphism group of [R.
It is believed that LQG can unify all presently known interactions by implementing their common symmetry group, the four-dimensional diffeomorphism group, which is almost completely broken in perturbative approaches.
The monograph explores Fredholm properties and index theory, uniform structures of Clifford bundles, ILH diffeomorphism groups, Lie groups of Fourier integral operators, Teichmuller theory, functional algebraic topology, and relative zeta functions.
Projective differential geometry old and new; from the Schwarzian derivative to the cohomology of diffeomorphism groups.