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arXiv · 1910.13477

Proper $r$-harmonic functions on the Thurston geometries

Sigmundur Gudmundsson·Anna Siffert
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Abstract

For any positive natural number $r\in\N^+$ we construct new explicit proper $r$-harmonic functions on the celebrated $3$-dimensional Thurston geometries $\Sol$, $\Nil$, $\SL2$, $\H^2\times\rn$ and $\s^2\times\rn$.

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Sigmundur Gudmundsson, Anna Siffert. 2019-10-29. Proper $r$-harmonic functions on the Thurston geometries. https://doi.org/10.1016/j.geomphys.2020.103729

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