Proper r-harmonic functions from Riemannian manifolds

Sigmundur Gudmundsson; Marko Sobak

doi:10.1007/s10455-019-09696-3

Proper r-harmonic functions from Riemannian manifolds

Sigmundur Gudmundsson, Marko Sobak

Lund University

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

Abstract

We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SL_n(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO^∗(2 n) and SU^∗(2 n).

Original language	English
Pages (from-to)	217-223
Journal	Annals of Global Analysis and Geometry
Volume	57
Early online date	2019 Dec 10
DOIs	https://doi.org/10.1007/s10455-019-09696-3
Publication status	Published - 2020

Subject classification (UKÄ)

Geometry

Free keywords

Biharmonic functions
p-harmonic functions
Semisimple Lie groups

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10.1007/s10455-019-09696-3

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title = "Proper r-harmonic functions from Riemannian manifolds",

abstract = "We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SLn(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO∗(2 n) and SU∗(2 n).",

keywords = "Biharmonic functions, p-harmonic functions, Semisimple Lie groups",

author = "Sigmundur Gudmundsson and Marko Sobak",

year = "2020",

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journal = "Annals of Global Analysis and Geometry",

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T1 - Proper r-harmonic functions from Riemannian manifolds

AU - Gudmundsson, Sigmundur

AU - Sobak, Marko

PY - 2020

Y1 - 2020

N2 - We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SLn(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO∗(2 n) and SU∗(2 n).

AB - We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SLn(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO∗(2 n) and SU∗(2 n).

KW - Biharmonic functions

KW - p-harmonic functions

KW - Semisimple Lie groups

UR - https://www.scopus.com/pages/publications/85076621377

U2 - 10.1007/s10455-019-09696-3

DO - 10.1007/s10455-019-09696-3

M3 - Article

AN - SCOPUS:85076621377

SN - 0232-704X

VL - 57

SP - 217

EP - 223

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

ER -

Proper r-harmonic functions from Riemannian manifolds

Abstract

Subject classification (UKÄ)

Free keywords

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