Proper r-harmonic functions on the Thurston geometries

For any positive natural number r∈N+ we construct new explicit proper r-harmonic functions on the celebrated 3-dimensional Thurston geometries Sol, Nil, SL˜2(R), H2×R and S2×R.

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Bibliographic Details
Published in:	Journal of geometry and physics Vol. 154; p. 103729
Main Authors:	Gudmundsson, Sigmundur, Siffert, Anna
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-08-2020
Subjects:	[formula omitted]-Harmonic functions Geometri Geometry Matematik Mathematics multivariant polynomials Natural Sciences Naturvetenskap r-Harmonic functions Thurston geometries 53C42 53A07 Thurston geometries multivariant polynomials 58E20 r-Harmonic functions
Online Access:	Get full text
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Description
Summary:	For any positive natural number r∈N+ we construct new explicit proper r-harmonic functions on the celebrated 3-dimensional Thurston geometries Sol, Nil, SL˜2(R), H2×R and S2×R.
ISSN:	0393-0440 1879-1662
DOI:	10.1016/j.geomphys.2020.103729