| 1. | Similarly for a differentiable manifold it has to be a diffeomorphism.
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| 2. | So we simply read off the spatial diffeomorphism and Hamiltonian constraint,
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| 3. | A distance-preserving diffeomorphism between Riemannian manifolds is called an isometry.
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| 4. | Equivalently, it is a diffeomorphism which is also a group homomorphism.
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| 5. | Another open problem is whether every Anosov diffeomorphism is transitive.
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| 6. | The diffeomorphism group are flows with vector fields absolutely integrable in Sobolev norm
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| 7. | "modulo diffeomorphism " and " maximal horns ."
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| 8. | For any spatial diffeomorphism \ varphi on \ Sigma.
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| 9. | Interestingly, this is formally spatially diffeomorphism-invariant.
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| 10. | As such it can be applied at the spatially diffeomorphism-invariant level.
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