diffeomorphism sentence in Hindi

Examples

1. i ) reproduction of the Poisson brackets ( of the diffeomorphism constraints in the case of general relativity ).
2. Not every manifold admits an Anosov diffeomorphism; for example, there are no such diffeomorphisms on the sphere.
3. It was proved that any other Anosov diffeomorphism on a torus is topologically conjugate to one of this kind.
4. Suppose we have a diffeomorphism " T " which preserves the Lebesgue measure and is C 3.
5. One can also make this operation work in the category, and then the result is unique up to diffeomorphism.
6. Thus the exponential map is a diffeomorphism from \ mathfrak { p } onto the space of positive definite matrices.
7. The notion of a diffeomorphism of " S " is redefined with respect to this modified differentiable structure.
8. For example, it provides a natural way to express the direct link between spontaneous Lorentz breaking and diffeomorphism breaking.
9. Composing the original diffeomorphism with the inverse of " f " then yield zero as the Beltrami coefficient.
10. Therefore, one may employ big words : every one-loop filter is a diffeomorphism of every other one.