The geometry of the diffeomorphisms group on the torus and the Euler flow

Description:  In the spirit of Arnold's approach to hydrodynamics we study the geometry of the diffeomorphisms group (in this case of the torus). We prove that for the 2-dimensional case the Ricci curvature is positive. Nevertheless probabilistic arguments show that the Euler flow is non ergodic. (talk based on a joint work with P. Malliavin) Area(s): Date:  2007-10-26 Start Time:   14:30 Speaker:  Ana Bela Cruzeiro (IST Lisboa) Place:  5.4 Research Groups: -Geometry See more:   <Main>