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Biharmonic functions on the classical compact simple Lie groups

Gudmundsson, Sigmundur LU ; Montaldo, Stefano and Ratto, Andrea (2017) In Journal of Geometric Analysis
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 SU(n), SO(n) and Sp(n). 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 S^3 and on the hyperbolic space H^3.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Biharmonic functions, Lie groups
in
Journal of Geometric Analysis
pages
23 pages
publisher
Springer
external identifiers
  • scopus:85020399165
ISSN
1559-002X
DOI
10.1007/s12220-017-9877-1
language
English
LU publication?
yes
id
72f61aa7-d1ea-4e66-a089-541429ca229a
date added to LUP
2017-06-07 09:44:54
date last changed
2018-01-07 12:06:19
@article{72f61aa7-d1ea-4e66-a089-541429ca229a,
  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 SU(n), SO(n) and Sp(n). 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 S^3 and on the hyperbolic space H^3.},
  author       = {Gudmundsson, Sigmundur and Montaldo, Stefano and Ratto, Andrea},
  issn         = {1559-002X},
  keyword      = {Biharmonic functions, Lie groups},
  language     = {eng},
  month        = {06},
  pages        = {23},
  publisher    = {Springer},
  series       = {Journal of Geometric Analysis},
  title        = {Biharmonic functions on the classical compact simple Lie groups},
  url          = {http://dx.doi.org/10.1007/s12220-017-9877-1},
  year         = {2017},
}