Smoothness of isometries between subRiemannian manifolds

OCT 17, 2013 | 2:00 PM TO 4:00 PM

Details

WHERE:

The Graduate Center
365 Fifth Avenue

ROOM:

5417

WHEN:

October 17, 2013: 2:00 PM-4:00 PM

ADMISSION:

Free

Description

Initiative for the Theoretical Sciences Applied Mathematics Nonlinear Analysis Seminar Series

Title: Smoothness of isometries between subRiemannian manifolds
Speaker: Luca Capogna (Worcester Polytechnic Institute)

Abstract: In a joint work with Enrico Le Donne (Jyvaskyla, Finland), we show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finite-dimensional Lie group of smooth transformations. The proof is based on a new PDE argument, in the spirit of harmonic coordinates, establishing that in an arbitrary subRiemannian manifold there exists an open dense subset where all isometries are smooth.