Proper r-harmonic functions on the Thurston geometries

Sigmundur Gudmundsson; Anna Siffert

doi:10.1016/j.geomphys.2020.103729

Proper r-harmonic functions on the Thurston geometries

Sigmundur Gudmundsson, Anna Siffert

University of Münster

Research output: Contribution to journal › Article › peer-review

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

Original language	English
Article number	103729
Number of pages	12
Journal	Journal of Geometry and Physics
Volume	154
Early online date	2020
DOIs	https://doi.org/10.1016/j.geomphys.2020.103729
Publication status	Published - 2020 Aug

Subject classification (UKÄ)

Geometry

Free keywords

r-Harmonic functions
Thurston geometries

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10.1016/j.geomphys.2020.103729

Cite this

@article{22056c9606a64de0af81498255158472,

title = "Proper r-harmonic functions on the Thurston geometries",

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",

keywords = "r-Harmonic functions, Thurston geometries",

author = "Sigmundur Gudmundsson and Anna Siffert",

year = "2020",

month = aug,

doi = "10.1016/j.geomphys.2020.103729",

language = "English",

volume = "154",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier",

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TY - JOUR

T1 - Proper r-harmonic functions on the Thurston geometries

AU - Gudmundsson, Sigmundur

AU - Siffert, Anna

PY - 2020/8

Y1 - 2020/8

N2 - 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

AB - 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

KW - r-Harmonic functions

KW - Thurston geometries

U2 - 10.1016/j.geomphys.2020.103729

DO - 10.1016/j.geomphys.2020.103729

M3 - Article

SN - 0393-0440

VL - 154

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 103729

ER -

Proper r-harmonic functions on the Thurston geometries

Abstract

Subject classification (UKÄ)

Free keywords

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Cite this