PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago.

Title:Weak convergence of scalar curvature
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Anton Petrunin, PSU
Abstract:
This is a joint work with N. Lebedeva. We show that notion of scalar curvature has sense for smoothable Alexandrov space. In particular, two Gromov--Hausdorff-close Riemannian manifolds with a fixed upper-diameter, lower-curvature and lower-volume bounds must have nearly the same integral of scalar curvature. This theorem is the first step in our program for developing notion of curvature on Alexandrov spaces. If works, it should be helpful for developing deformations of Alexandrov space (in particular for solving the conjecture on convex hypersurface in Alexandrov space).

Room Reservation Information

Room Number:MB106
Date:01 / 16 / 2008
Time:03:35pm - 04:35pm