diffeomorphism in a sentence

Examples

1. Orientable surfaces can be visualized, and their diffeomorphism classes enumerated, by genus.
2. Unfortunately, this theory is not diffeomorphism covariant.
3. Composing these diffeomorphisms gives a diffeomorphism carrying the smooth curve onto the unit circle.
4. In that case one of the homeomorphisms can be chosen to be a diffeomorphism.
5. On the other hand, the right hand side is imdependent of the diffeomorphism.
6. A diffeomorphism between two symplectic manifolds which preserves the symplectic form is called a symplectomorphism.
7. To handle the spatial diffeomorphism constraint we need to go over to the loop representation.
8. The spatial diffeomorphism constraint has been solved.
9. Both gauge invariance and diffeomorphism invariance reflect a redundancy in the description of the system.
10. This means that one cannot just solve the spatial diffeomorphism constraint and then the Hamiltonian constraint.