Zhiyong Gao has been doing some of the very best recent work on demonstrating the existence of metrics with various curvature properties. His results on the existence of negatively Ricci curved metrics and on stability of negative Ricci curvature under connected sums are first rate. In the current research the emphasis is placed on the existence of positive scalar curvature metrics, the existence of negatively Ricci curved metrics and the existence of Einstein metrics, realizing the positive Ricci tensor on 3-manifolds.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
8703345
Program Officer
Trudy T. Sensibaugh
Project Start
Project End
Budget Start
1987-06-01
Budget End
1989-11-30
Support Year
Fiscal Year
1987
Total Cost
$32,650
Indirect Cost
Name
Rice University
Department
Type
DUNS #
City
Houston
State
TX
Country
United States
Zip Code
77005