9704515 Pollack This project lies in the area of Riemannian geometry. More specifically, the investigator will examine complete conformally flat metrics of constant positive scalar curvature on manifolds of dimension greater than two; he will also construct complete surfaces of constant mean curvature surfaces embedded in Euclidean space (CMC surfaces). Physicists often seek to describe the universe as a Riemannian manifold possessing a certain special type of geometry. The condition of constant positive scalar curvature is an example of such geometry. A conformally flat structure on a manifold is a generalization to higher dimensions of the structure on a surface in which angles are prescribed. Examples of CMC surfaces include soap bubbles. These are surfaces which try to minimize their surface area while keeping a fixed volume of air enclosed.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9704515
Program Officer
Christopher W. Stark
Project Start
Project End
Budget Start
1997-07-01
Budget End
2001-06-30
Support Year
Fiscal Year
1997
Total Cost
$75,914
Indirect Cost
Name
University of Washington
Department
Type
DUNS #
City
Seattle
State
WA
Country
United States
Zip Code
98195