Symplectic Dynamics Seminar
Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms
In 1966 V. Arnold showed how solutions of the Euler equations of hydrodynamics can be viewed as geodesics in the group of volume-preserving diffeomorphisms. This provided a motivation to study the geometry of this group equipped with the $L^2$ metric. I will describe some recent work on the structure of singularities of the associated exponential map and related results.
Date & Time
October 19, 2011 | 4:00pm – 5:00pm
Location
S-101Speakers
Affiliation
University of Notre Dame; Member, School of Mathemtics