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|
|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|