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New minimal surfaces of the sphere S^4 and the hyperbolic space H^4 via harmonic morphisms

Gudmundsson, Sigmundur LU orcid and Nygren Löndorf, Leonard (2026) In Journal of Geometry and Physics 229.
Abstract
In this work we introduce a new method for the construction of minimal submanifolds of codimension two in even dimensional spheres and hyperbolic spaces. This is based on the theory of complex-valued harmonic morphisms. This gives the first explicit examples of such maps defined on the sphere S^4
and the hyperbolic space H^4
.
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
Harmonic morphismsMinimal submanifoldsEven dimensional spheres, Minimal submanifolds, Even dimensional spheres
in
Journal of Geometry and Physics
volume
229
article number
105944
pages
8 pages
publisher
Elsevier
ISSN
0393-0440
DOI
10.1016/j.geomphys.2026.105944
language
English
LU publication?
yes
id
7967f892-60b4-48e8-a3d8-8ae89823b8b0
date added to LUP
2026-07-20 21:07:31
date last changed
2026-09-08 12:56:58
@article{7967f892-60b4-48e8-a3d8-8ae89823b8b0,
  abstract     = {{In this work we introduce a new method for the construction of minimal submanifolds of codimension two in even dimensional spheres and hyperbolic spaces. This is based on the theory of complex-valued harmonic morphisms. This gives the first explicit examples of such maps defined on the sphere S^4<br/> and the hyperbolic space H^4<br/>.}},
  author       = {{Gudmundsson, Sigmundur and Nygren Löndorf, Leonard}},
  issn         = {{0393-0440}},
  keywords     = {{Harmonic morphismsMinimal submanifoldsEven dimensional spheres; Minimal submanifolds; Even dimensional spheres}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Geometry and Physics}},
  title        = {{New minimal surfaces of the sphere S^4 and the hyperbolic space H^4 via harmonic morphisms}},
  url          = {{http://dx.doi.org/10.1016/j.geomphys.2026.105944}},
  doi          = {{10.1016/j.geomphys.2026.105944}},
  volume       = {{229}},
  year         = {{2026}},
}