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.

System (1) is said to be static state feedback linearizable if there exist a state

diffeomorphismAn 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.

diffeomorphism [psi]: X [right arrow] X, defined by

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.