Geometric Anosov flows of dimension five with smooth distributions

We classify five dimensional Anosov flows with smooth decomposition which are in addition transversely symplectic. Up to finite covers and a special time change, we find exectly the suspensions of symplectic hyperbolic automorphisms of four dimensional toris, and the geodesic flows of three dimensional hyperbolic manifolds.Comment: Our classification finishes the work of A.Katok and R.Feres concerning such flows (see their article about these flows in ETDS, 90'). Our article is to appear in Journal of the Institut of Mathematics of Jussieu, and a note of this article has already appeared in C.R.Acad.Sci. 336 (2003) 419-42

Smooth rigidity of uniformly quasiconformal Anosov flows

We classify quasiconformal Anosov flows whose strong stable and unstable distributions are at least two dimensional and the sum of these two distributions is smooth. We deduce from this classification result the complete classification of volume-preserving quasiconformal diffeomorphisms whose stable and unstable distributions are at least two dimensional. Our central idea is to take a good time change so that perodic orbits are equi-distributed with respect to a lebesgue measure.Comment: Our results generalise to higher dimensions the classification of E.Ghys of holomorphic Anosov diffeomorphisms of complex surface

Effects of the high-momentum tail of nucleon momentum distribution on the isospin-sensitive observables

Based on the Isospin-dependent transport model Boltzmann-Uehling-Uhlenbeck (IBUU), effects of the high momentum tail (HMT) of nucleon momentum distribution in colliding nuclei on some isospin-sensitive observables are studied in the semi-central $^{197}\rm {Au}+^{197}\rm {Au}$ reactions at incident beam energy of 400 MeV/nucleon. It is found that the nucleon transverse flow, the difference of neutron and proton transverse flows, the nucleon elliptic flow and free neutron to proton ratio are all less sensitive to the HMT, while the isospin-sensitive nucleon elliptic flow difference is clearly affected by the HMT. Except at very high kinetic energies, the kinetic energy distributions of $\pi^{-}$, $\pi^{+}$ and charged pion ratio $\pi^{-}/\pi^{+}$ are all sensitive to the HMT.Comment: 6 pages, 6 figures, to appear in Eur. Phys. J.