For more information about this meeting, contact John Roe, Dmitri Burago.
|Title:||On local structure of Finsler torus without conjugate points|
|Seminar:||Geometry Luncheon Seminar|
|Speaker:||Dong Chen, Penn State|
|In this talk I will present a recent joint work with Dimitri Burago. We proved, given a point on a Finsler surface, one can always find a neighborhood of the point and isometrically embed this neighborhood into a Finsler torus without conjugate points. This result does not hold in Riemannian cases, due to Burago and Ivanov, who proved Hopf's conjecture, that is, Riemannian tori without conjugate points are flat. In order to prove this we need to extend the notion of Busemann functions and make some perturbation and extension of such functions.|
Room Reservation Information
|Date:||09 / 25 / 2013|
|Time:||12:00pm - 01:30pm|