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|
|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
|Date:||01 / 16 / 2008|
|Time:||03:35pm - 04:35pm|