The research entails considering problems concerning conformally equivalent metrics on classes of Riemannian manifolds, classes of spectral invariants of metrics and conformally invariant energy functions of maps. Related to these are m-powers of the energy density of maps between Riemannian manifolds. Extremals of these integrated densities lead to the notion of harmonic maps, generalizing the case m=1.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9300881
Program Officer
James Glazebrook
Project Start
Project End
Budget Start
1993-06-01
Budget End
1995-08-31
Support Year
Fiscal Year
1993
Total Cost
$67,500
Indirect Cost
Name
University of Southern California
Department
Type
DUNS #
City
Los Angeles
State
CA
Country
United States
Zip Code
90089