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Proper r-harmonic functions on the Thurston geometries

Gudmundsson, Sigmundur LU orcid and Siffert, Anna (2020) In Journal of Geometry and Physics 154.
Abstract
For any positive natural number r\in\N^+ we construct new explicit proper r-harmonic functions on the celebrated 3-dimensional Thurston geometries Sol, Nil, SL_2(R)$, H^2*\rn and and S^2*R
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
r-Harmonic functions, Thurston geometries
in
Journal of Geometry and Physics
volume
154
article number
103729
pages
12 pages
publisher
Elsevier
external identifiers
  • scopus:85084539735
ISSN
0393-0440
DOI
10.1016/j.geomphys.2020.103729
language
English
LU publication?
yes
id
22056c96-06a6-4de0-af81-498255158472
date added to LUP
2020-05-29 13:33:15
date last changed
2022-06-07 11:40:56
@article{22056c96-06a6-4de0-af81-498255158472,
  abstract     = {{For any positive natural number r\in\N^+ we construct new explicit proper r-harmonic functions on the celebrated 3-dimensional Thurston geometries Sol, Nil, SL_2(R)$, H^2*\rn and and S^2*R}},
  author       = {{Gudmundsson, Sigmundur and Siffert, Anna}},
  issn         = {{0393-0440}},
  keywords     = {{r-Harmonic functions; Thurston geometries}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Geometry and Physics}},
  title        = {{Proper r-harmonic functions on the Thurston geometries}},
  url          = {{http://dx.doi.org/10.1016/j.geomphys.2020.103729}},
  doi          = {{10.1016/j.geomphys.2020.103729}},
  volume       = {{154}},
  year         = {{2020}},
}