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 main moduli spaces in which we are interested are moduli spaces of manifolds, Or equivalently classifying spaces of diffeomorphism groups of manifolds.
Takenstheorem: M is d dimensional space, [phi]: M [right arrow] M, [phi] is a smooth diffeomorphism.
The pointwise exponential map defines a local diffeomorphism around zero in [L.
Two links are called isotopic if one of them can be transformed to the other by a diffeomorphism of the ambient space onto itself.
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.
The coordinate transformation [mu] is a global diffeomorphism, analogous to a similarity transformation in linear systems.
1,1] diffeomorphism of convex sets and many other nonconvex sets; see [2], [32].
j] may be pulled over through the diffeomorphism [[phih].
The manifold--atlas topology can be coupled with an information based, (weakly) stochastic structure where essential distinctions can be represented in terms of such properties as homotopy and diffeomorphism type, homology, curvature, etc.
In the continuum mechanics the relation (1) is named flow, and it must be a diffeomorphism of class [C.