Professor Smyth will continue his research on sets of principal curvatures of hypersurfaces in Euclidean space and to extend some of the techniques previously developed to spaces of constant curvature. The anticipated results may be employed to obtain some interesting generalizations of previous classical results for isoparametric hypersurfaces. Xavier will continue his research on the study of complete embedded simply-connected minimal surfaces and relationships with algebraic curve geometry.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9204946
Program Officer
James Glazebrook
Project Start
Project End
Budget Start
1992-12-01
Budget End
1996-05-31
Support Year
Fiscal Year
1992
Total Cost
$120,000
Indirect Cost
Name
University of Notre Dame
Department
Type
DUNS #
City
Notre Dame
State
IN
Country
United States
Zip Code
46556