diffeomorphism

(redirected from Diffeomorphism group)

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 ?
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.
But there is a globally defined symmetry group, which is an invariance group of GR, namely the diffeomorphism group, diff, which, from the local point of view, is the active version of local coordinate transformations.
The main moduli spaces in which we are interested are moduli spaces of manifolds, Or equivalently classifying spaces of diffeomorphism groups of manifolds.
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.