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

Sigmundur Gudmundsson; Anna Siffert; Marko Sobak

doi:10.1016/j.geomphys.2021.104205

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

Sigmundur Gudmundsson, Anna Siffert, Marko Sobak

University of Münster

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

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

Originalspråk	engelska
Artikelnummer	104205
Antal sidor	16
Tidskrift	Journal of Geometry and Physics
Volym	164
DOI	https://doi.org/10.1016/j.geomphys.2021.104205
Status	Published - 2021

Ämnesklassifikation (UKÄ)

Geometri

Tillgång till dokument

10.1016/j.geomphys.2021.104205

Citera det här

@article{a96f4a88433443e7a15c1d55554137bf,

title = "Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type",

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 = "Sigmundur Gudmundsson and Anna Siffert and Marko Sobak",

year = "2021",

doi = "10.1016/j.geomphys.2021.104205",

language = "English",

volume = "164",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier",

}

TY - JOUR

T1 - Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type

AU - Gudmundsson, Sigmundur

AU - Siffert, Anna

AU - Sobak, Marko

PY - 2021

Y1 - 2021

N2 - 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

AB - 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

U2 - 10.1016/j.geomphys.2021.104205

DO - 10.1016/j.geomphys.2021.104205

M3 - Article

SN - 0393-0440

VL - 164

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104205

ER -

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

Sammanfattning

Ämnesklassifikation (UKÄ)

Tillgång till dokument

Fingeravtryck

Citera det här