31. Also, it is unknown if every C ^ 1 volume preserving Anosov diffeomorphism is ergodic. 32. In mathematics, a "'diffeomorphism "'is an isomorphism of smooth manifolds. 33. Smale horseshoe map is an axiom A diffeomorphism with infinitely many periodic points and positive topological entropy. 34. You make me laugh .-- Diffeomorphism 18 : 59, 17 October 2006 ( UTC) 35. The diffeomorphism ? " s " therefore carries the smooth curve onto this small circle. 36. Such functions solve the Gauss law, the spatial diffeomorphism constraint and ( formally ) the Hamiltonian constraint. 37. This constraint implements the spatial diffeomorphism and Hamiltonian constraint at the same time on the Kinematic Hilbert space. 38. Let ? be a non-trivial periodic orientation-preserving diffeomorphism of " M ". 39. The diffeomorphism would take the flow curves of one vector field to the flow lines of the other. 40. Thus there is a diffeomorphism of the 2-sphere carrying the smooth curve onto the unit circle.