Complex-valued (p,q)-harmonic morphisms from Riemannian manifolds
Gudmundsson, Sigmundur LU
and Ghandour, Elsa
LU
(2021)
In Journal of Geometric Analysis
31(11).
p.11386-11409
- Abstract
- We introduce the natural notion of (p,q)-harmonic morphisms between Riemannian manifolds. This unifies several theories that have been studied during the last decades. We then study the special case when the maps involved are complex-valued. For these we find a characterisation and provide new non-trivial examples in important cases.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/0fb5175a-6b70-46c5-9a39-962815c0600a
- author
- Gudmundsson, Sigmundur
LU
and Ghandour, Elsa
LU
- organization
- publishing date
- 2021-05-26
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Geometric Analysis
- volume
- 31
- issue
- 11
- pages
- 11386 - 11409
- publisher
- Springer
- external identifiers
-
- scopus:85106461538
- ISSN
- 1559-002X
- DOI
- 10.1007/s12220-021-00685-2
- language
- English
- LU publication?
- yes
- id
- 0fb5175a-6b70-46c5-9a39-962815c0600a
- date added to LUP
- 2021-04-20 20:47:55
- date last changed
- 2022-04-27 01:36:08
@article{0fb5175a-6b70-46c5-9a39-962815c0600a,
abstract = {{We introduce the natural notion of (p,q)-harmonic morphisms between Riemannian manifolds. This unifies several theories that have been studied during the last decades. We then study the special case when the maps involved are complex-valued. For these we find a characterisation and provide new non-trivial examples in important cases.}},
author = {{Gudmundsson, Sigmundur and Ghandour, Elsa}},
issn = {{1559-002X}},
language = {{eng}},
month = {{05}},
number = {{11}},
pages = {{11386--11409}},
publisher = {{Springer}},
series = {{Journal of Geometric Analysis}},
title = {{Complex-valued (p,q)-harmonic morphisms from Riemannian manifolds}},
url = {{http://dx.doi.org/10.1007/s12220-021-00685-2}},
doi = {{10.1007/s12220-021-00685-2}},
volume = {{31}},
year = {{2021}},
}