Biharmonic functions on the classical compact simple Lie groups
Differential Geometry
2016-08-31 v1
Abstract
The main aim of this work is to construct several new families of proper biharmonic functions defined on open subsets of the classical compact simple Lie groups , and . We work in a geometric setting which connects our study with the theory of submersive harmonic morphisms. We develop a general duality principle and use this to interpret our new examples on the Euclidean sphere and on the hyperbolic space \H^3.
Keywords
Cite
@article{arxiv.1608.08391,
title = {Biharmonic functions on the classical compact simple Lie groups},
author = {Sigmundur Gudmundsson and Stefano Montaldo and Andrea Ratto},
journal= {arXiv preprint arXiv:1608.08391},
year = {2016}
}