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diffeomorphism

   Also found in: Wikipedia 0.01 sec.
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.


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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.
In this case, we know that the nonlinear equation is equivalent to the linearized equation, in the sense that there exists a local diffeomorphism which transforms the neighboring trajectories of the equilibrium point to those neighbors of zero of the linear equation.
member of]P which is a diffeomorphism on the interior of [(P.
 
 
 
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