9705479 Dorfmeister This project lies in the area of minimal surfaces and harmonic mappings. Earlier, the investigator has developed a Weierstrass type formula for harmonic maps from Riemann surfaces into compact symmetric spaces. The current project is a continuation of that work. In particular, the method is to be applied to produce constant mean curvature surfaces in 3-space. Minimal surfaces and constant mean curvature surfaces have certain optimizing properties; as a consequence, they have important physical applications. For example, the interface of two homogeneous media often forms a minimal surface as such a surface tends to be locally energy-minimizing. Constant mean curvature surfaces arise as closed surfaces that have the least surface area amongst all closed surfaces enclosing a fixed volume.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9705479
Program Officer
Christopher W. Stark
Project Start
Project End
Budget Start
1997-05-15
Budget End
2001-04-30
Support Year
Fiscal Year
1997
Total Cost
$130,000
Indirect Cost
Name
University of Kansas Main Campus
Department
Type
DUNS #
City
Lawrence
State
KS
Country
United States
Zip Code
66045