Explicit harmonic morphisms and p-harmonic functions from the complex and quaternionic Grassmannians
Gudmundsson, Sigmundur LU
and Ghandour, Elsa
LU
(2023)
In Annals of Global Analysis and Geometry
64(2).
- Abstract
- We construct explicit complex-valued p-harmonic functions and harmonic morphisms on the classical compact symmetric complex and quaternionic Grassmannians. The ingredients for our construction method are joint eigenfunctions of the classical Laplace-Beltrami and the so called conformality operator. A known duality principle implies that these p-harmonic functions and harmonic morphisms also induce such solutions on the Riemannian symmetric non-compact dual spaces.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/bb9b0766-7516-4414-bac8-ce1daa1e5811
- author
- Gudmundsson, Sigmundur
LU
and Ghandour, Elsa
LU
- organization
- publishing date
- 2023-08-24
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- harmonic morphisms, p-harmonic functions, Grassmannian manifolds
- in
- Annals of Global Analysis and Geometry
- volume
- 64
- issue
- 2
- article number
- 15
- pages
- 18 pages
- publisher
- Springer
- external identifiers
-
- scopus:85168685758
- ISSN
- 1572-9060
- DOI
- 10.1007/s10455-023-09919-8
- language
- English
- LU publication?
- yes
- id
- bb9b0766-7516-4414-bac8-ce1daa1e5811
- date added to LUP
- 2023-08-04 21:19:17
- date last changed
- 2023-10-30 15:04:11
@article{bb9b0766-7516-4414-bac8-ce1daa1e5811,
abstract = {{We construct explicit complex-valued p-harmonic functions and harmonic morphisms on the classical compact symmetric complex and quaternionic Grassmannians. The ingredients for our construction method are joint eigenfunctions of the classical Laplace-Beltrami and the so called conformality operator. A known duality principle implies that these p-harmonic functions and harmonic morphisms also induce such solutions on the Riemannian symmetric non-compact dual spaces.}},
author = {{Gudmundsson, Sigmundur and Ghandour, Elsa}},
issn = {{1572-9060}},
keywords = {{harmonic morphisms, p-harmonic functions, Grassmannian manifolds}},
language = {{eng}},
month = {{08}},
number = {{2}},
publisher = {{Springer}},
series = {{Annals of Global Analysis and Geometry}},
title = {{Explicit harmonic morphisms and p-harmonic functions from the complex and quaternionic Grassmannians}},
url = {{http://dx.doi.org/10.1007/s10455-023-09919-8}},
doi = {{10.1007/s10455-023-09919-8}},
volume = {{64}},
year = {{2023}},
}