PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"On local structure of Finsler torus without conjugate points"
Seminar:Ph.D. Oral Comprehensive Examination
Speaker:Dong Chen, Adviser: Dima Burago, Penn State
Abstract Link:http://
Abstract:
In 1994 Burago and Ivanov proved Hopf’s conjecture, that is, Riemannian tori without conjugate points are flat. However, this conjecture does not hold in Finsler cases. 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. In order to prove this we need to extend the notion of Busemann functions and make some perturbation and extension of such functions. And we offer some future open problems to work on.

Room Reservation Information

Room Number:167 Willard Building
Date:04 / 08 / 2014
Time:01:00pm - 02:15pm