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UNIVERSITY OF CALIFORNIA, SANTA BARBARA BERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
 

Summary: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
BERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
CSANTA BARBARA SANTA CRUZ
Differential Geometry Seminar
and
Geometry, Topology, and Physics Seminar
Cross Curvature Flow on
Locally Homogenous Three-manifolds
Xiaodong Cao
MSRI and Cornell University
Friday, April 20, 2007, 3:30 p.m.
Room 6635 South Hall
Abstract: Recently, Chow and Hamilton introduced the cross curvature flow on
three-manifolds, which is a weakly parabolic partial differential equation system when
the sectional curvatures have a definite sign. They also conjectured the long time
existence and convergence of cross curvature flow on closed three-manifolds with
negative sectional curvature. In this talk, we will study the cross curvature flow
on locally homogenous three-manifolds. We will describe the long time behavior of
the cross curvature flow for each case. This is a joint work with Yilong Ni and Laurent
Saloff-Coste.

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics