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

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

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

Originalspråk	engelska
Artikelnummer	103729
Antal sidor	12
Tidskrift	Journal of Geometry and Physics
Volym	154
Tidigt onlinedatum	2020
DOI	https://doi.org/10.1016/j.geomphys.2020.103729
Status	Published - 2020 aug.

Ämnesklassifikation (UKÄ)

Geometri

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10.1016/j.geomphys.2020.103729

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@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",

}

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

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Ämnesklassifikation (UKÄ)

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