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
It is easy to verify that F(0,0) = 0 and F(*, 0) is a 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.
of convex sets and many other nonconvex sets; see , .
j] may be pulled over through the diffeomorphism
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.