Examples of 'diffeomorphism' in a sentence
Meaning of "diffeomorphism"
diffeomorphism (noun) - a smooth bijective map between two differentiable manifolds that has a smooth inverse
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- A differentiable homeomorphism (with differentiable inverse) between differentiable manifolds.
How to use "diffeomorphism" in a sentence
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diffeomorphism
Global diffeomorphism question and differential equations.
This is an example of a homeomorphism that is not a diffeomorphism.
The spatial diffeomorphism constraint has been solved.
Similarly for a differentiable manifold it has to be a diffeomorphism.
In particular a diffeomorphism preserves smoothness in the deformation.
The partial derivative is not diffeomorphism invariant.
For a diffeomorphism we need f and its inverse to be differentiable.
Solution of the spatial diffeomorphism constraint.
A diffeomorphism is a bijection which is differentiable with differentiable inverse.
This is true in particular when ϕ is a diffeomorphism.
A diffeomorphism is a bijective local diffeomorphism.
The formal definition of a local diffeomorphism is given below.
The diffeomorphism group of spacetime sometimes appears in attempts to quantize gravity.
If the curve is smooth then the homeomorphism can be chosen to be a diffeomorphism.
This diffeomorphism is not unique because it depends on the choice of trivialization.
See also
The vital issue here is that the gluing map is a diffeomorphism.
The restriction is a diffeomorphism on its image preserving the outgoing orientations.
An automorphism of a differentiable manifold M is a diffeomorphism from M to itself.
Every local diffeomorphism is also a local homeomorphism and therefore an open map.
Conventional field theories are not invariant under a diffeomorphism acting on the dynamical fields.
Diffeomorphism invariance of the worldsheet implies additionally that the stress tensor vanishes.
Thus closed surfaces are classified up to diffeomorphism by their Euler characteristic and orientability.
The diffeomorphism αs therefore carries the smooth curve onto this small circle.
What is the physical meaning of diffeomorphism invariance?
Both gauge invariance and diffeomorphism invariance reflect a redundancy in the description of the system.
For conformal spaces, conformal diffeomorphism.
The horseshoe map f is a diffeomorphism defined from a region S of the plane into itself.
Ordinary non-gravitational physics is not formulated in a diffeomorphism invariant way.
Large diffeomorphism Global anomaly.
In mechanics, a stress-induced transformation is called a deformation and may be described by a diffeomorphism.
Equivalently, it is a diffeomorphism which is also a group homomorphism.
What are the possible outcomes allowed by both quantum theory and diffeomorphism invariance?
In mathematics, a diffeomorphism is an isomorphism in the category of smooth manifolds.
In particular, the general linear group is also a deformation retract of the full diffeomorphism group.
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
If Dfx is a bijection for all x then we say that f is a ( global ) diffeomorphism.
Every diffeomorphism is a homeomorphism, but not every homeomorphism is a diffeomorphism.
Also, the differential of a local diffeomorphism is a linear isomorphism of tangent spaces.
The diffeomorphism ( transformation ) has very specific dependence on the parameter values.
For a finite set of points, the diffeomorphism group is simply the symmetric group.
F being a diffeomorphism is a stronger condition than f being a homeomorphism ( when f is a map between differentiable manifolds ).
The mapping torus of an Anosov diffeomorphism of the n-torus is a solvmanifold.
It is a diffeomorphism if it is differentiable, bijective, and its inverse is also differentiable.
But then the Jacobian at 0 is strictly positive and Ff is therefore locally a diffeomorphism.
For manifolds, the diffeomorphism group is usually not connected.
Now consider a change of coordinates on U, given by a diffeomorphism.
F " is said to be a diffeomorphism if it is bijective, smooth and its inverse is smooth.
Moreover, the transition maps are smooth, making the diffeomorphism group into a Fréchet manifold.
Thus there is a diffeomorphism of the 2-sphere carrying the smooth curve onto the unit circle.
For smooth manifolds, diffeomorphism.
