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Proper biharmonic maps and (2,1) -harmonic morphisms from some wild geometries

Ghandour, Elsa LU and Gudmundsson, Sigmundur LU orcid (2023) In Rendiconti del Circolo Matematico di Palermo 72(8). p.4101-4114
Abstract

In this work we construct a variety of new complex-valued proper biharmonic maps and (2, 1)-harmonic morphisms on Riemannian manifolds with non-trivial geometry. These are solutions to a non-linear system of partial differential equations depending on the geometric data of the manifolds involved.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Conformal foliations, Harmonic morphisms, Lie groups, Minimal foliations
in
Rendiconti del Circolo Matematico di Palermo
volume
72
issue
8
pages
4101 - 4114
publisher
Springer
external identifiers
  • scopus:85152460027
ISSN
0009-725X
DOI
10.1007/s12215-023-00882-8
language
English
LU publication?
yes
id
87ad280e-37e1-4b20-8501-4d4a28eae757
date added to LUP
2023-07-19 10:40:06
date last changed
2024-01-09 15:47:06
@article{87ad280e-37e1-4b20-8501-4d4a28eae757,
  abstract     = {{<p>In this work we construct a variety of new complex-valued proper biharmonic maps and (2, 1)-harmonic morphisms on Riemannian manifolds with non-trivial geometry. These are solutions to a non-linear system of partial differential equations depending on the geometric data of the manifolds involved.</p>}},
  author       = {{Ghandour, Elsa and Gudmundsson, Sigmundur}},
  issn         = {{0009-725X}},
  keywords     = {{Conformal foliations; Harmonic morphisms; Lie groups; Minimal foliations}},
  language     = {{eng}},
  number       = {{8}},
  pages        = {{4101--4114}},
  publisher    = {{Springer}},
  series       = {{Rendiconti del Circolo Matematico di Palermo}},
  title        = {{Proper biharmonic maps and (2,1) -harmonic morphisms from some wild geometries}},
  url          = {{http://dx.doi.org/10.1007/s12215-023-00882-8}},
  doi          = {{10.1007/s12215-023-00882-8}},
  volume       = {{72}},
  year         = {{2023}},
}