Biharmonic functions on the classical compact simple Lie groups
Gudmundsson, Sigmundur LU
; Montaldo, Stefano
and Ratto, Andrea
(2018)
In Journal of Geometric Analysis
28(2).
p.1525-1547
- 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:
https://lup.lub.lu.se/record/72f61aa7-d1ea-4e66-a089-541429ca229a
- author
- Gudmundsson, Sigmundur
LU
; Montaldo, Stefano
and Ratto, Andrea
- organization
- publishing date
- 2018
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Biharmonic functions, Lie groups
- in
- Journal of Geometric Analysis
- volume
- 28
- issue
- 2
- 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
- 2022-04-01 17:16:31
@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}},
keywords = {{Biharmonic functions, Lie groups}},
language = {{eng}},
number = {{2}},
pages = {{1525--1547}},
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}},
doi = {{10.1007/s12220-017-9877-1}},
volume = {{28}},
year = {{2018}},
}