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 ?
We recall that two Riemannian manifolds (M,g) and (M',g') are equivalent if there exists a diffeomorphism ([phi]): M [right arrow] M' such that
We now define the so-called Lie derivative which can be used to define a diffeomorphism invariant in [C.
An important special case is furnished by the Jacobian determinant L = J(x)(t) associated to a diffeomorphism x: [R.
The terms in the round brackets are just the components of our Lie derivative which can be used to define a diffeomorphism invariant (i.
The mapping [GAMMA] is a diffeomorphism which reduces to the identity on the frontier F of U.
This equation [28] is also similar to the one proposed by Doebner and Goldin [29] from considerations of unitary representations of the diffeomorphism group.
Large Deformation Diffeomorphism and Momentum Based Hippocampal Shape Discrimination in Dementia of the Alzheimer type.
the concircular geometry, is generalization of inversive geometry in the sense that the change of metric is more general than that induced by a circle preserving diffeomorphism.
This approach does not take into account the constraint that one seeks a one-to-one warping, which is called a diffeomorphism in mathematics.
The coordinate transformation [mu] is a global diffeomorphism, analogous to a similarity transformation in linear systems.