Proper r-harmonic functions from Riemannian manifolds
Gudmundsson, Sigmundur LU
and Sobak, Marko
(2020)
In Annals of Global Analysis and Geometry
57.
p.217-223
- Abstract
We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SLn(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO∗(2 n) and SU∗(2 n).
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/0bd2c43a-332c-453f-9743-bde6eb7395f4
- author
- Gudmundsson, Sigmundur
LU
and Sobak, Marko
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Biharmonic functions, p-harmonic functions, Semisimple Lie groups
- in
- Annals of Global Analysis and Geometry
- volume
- 57
- pages
- 217 - 223
- publisher
- Springer
- external identifiers
-
- scopus:85076621377
- ISSN
- 0232-704X
- DOI
- 10.1007/s10455-019-09696-3
- language
- English
- LU publication?
- yes
- id
- 0bd2c43a-332c-453f-9743-bde6eb7395f4
- date added to LUP
- 2020-01-14 12:57:53
- date last changed
- 2022-04-18 19:54:36
@article{0bd2c43a-332c-453f-9743-bde6eb7395f4,
abstract = {{<p>We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SL<sub>n</sub>(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO<sup>∗</sup>(2 n) and SU<sup>∗</sup>(2 n).</p>}},
author = {{Gudmundsson, Sigmundur and Sobak, Marko}},
issn = {{0232-704X}},
keywords = {{Biharmonic functions; p-harmonic functions; Semisimple Lie groups}},
language = {{eng}},
pages = {{217--223}},
publisher = {{Springer}},
series = {{Annals of Global Analysis and Geometry}},
title = {{Proper r-harmonic functions from Riemannian manifolds}},
url = {{http://dx.doi.org/10.1007/s10455-019-09696-3}},
doi = {{10.1007/s10455-019-09696-3}},
volume = {{57}},
year = {{2020}},
}