Workshop on Ricci Curvature

Title: The spacetime Ricci curvature in Riemannian geometry
Speaker: Mu-Tao Wang
Speaker Info: Columbia University
Brief Description:
Special Note:

Several fundamental results in Riemannian geometry such as the comparison theorem and the second variation formula rely on the sign of the Ricci curvature. However, many model spaces such as the Schwarzschild manifold (uniqueness of black holes) and the Bryant soliton (uniqueness of Ricci solitons) are not Einstein. On the other hand, the Schwarzschild manifold can be embedded as a time slice of a spacetime that has zero spacetime Ricci curvature. Such a spacetime point of view gives natural interpretations of previous results, helps in deriving brand new estimates and theorems, and inspires unexpected conjectures. I shall discuss several such examples in my talk.
Date: Friday, May 29, 2015
Time: 03:00pm
Where: Swift 107
Contact Person: Valentino Tosatti
Contact email: tosatti@math.northwestern.edu
Contact Phone:
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