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Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type

Gudmundsson, Sigmundur LU orcid ; Siffert, Anna and Sobak, Marko (2021) In Journal of Geometry and Physics 164.
Abstract
We construct explicit proper p-harmonic functions on rank-one Lie groups of Iwasawa type. This class of Lie groups includes many classical Riemannian manifolds such as the rank-one symmetric spaces of non-compact type, Damek-Ricci spaces, rank-one Einstein solvmanifolds and Carnot spaces
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Geometry and Physics
volume
164
article number
104205
pages
16 pages
publisher
Elsevier
external identifiers
  • scopus:85102262808
ISSN
0393-0440
DOI
10.1016/j.geomphys.2021.104205
language
English
LU publication?
yes
id
a96f4a88-4334-43e7-a15c-1d55554137bf
date added to LUP
2021-03-13 16:53:44
date last changed
2022-04-27 00:43:23
@article{a96f4a88-4334-43e7-a15c-1d55554137bf,
  abstract     = {{We construct explicit proper p-harmonic functions on rank-one Lie groups of Iwasawa type. This class of Lie groups includes many classical Riemannian manifolds such as the rank-one symmetric spaces of non-compact type, Damek-Ricci spaces, rank-one Einstein solvmanifolds and Carnot spaces}},
  author       = {{Gudmundsson, Sigmundur and Siffert, Anna and Sobak, Marko}},
  issn         = {{0393-0440}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Geometry and Physics}},
  title        = {{Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type}},
  url          = {{http://dx.doi.org/10.1016/j.geomphys.2021.104205}},
  doi          = {{10.1016/j.geomphys.2021.104205}},
  volume       = {{164}},
  year         = {{2021}},
}