Marko Sobak

collaborators

3 papers

math.DG2020

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

Sigmundur Gudmundsson, Anna Siffert, Marko Sobak

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…

math.DG2020

$p$ -Harmonic and Complex Isoparametric Functions on the Lie Groups $R^{m} ⋉ R^{n}$ and $R^{m} ⋉ H^{2 n + 1}$

Sigmundur Gudmundsson, Marko Sobak

In this paper we introduce the new notion of complex isoparametric functions on Riemannian manifolds. These are then employed to devise a general method for constructing proper $p$ …

math.DG2019

Proper $r$ -harmonic functions from Riemannian manifolds

Sigmundur Gudmundsson, Marko Sobak

We introduce a new method for constructing complex-valued $r$ -harmonic functions on Riemannian manifolds. We then apply this method for the important semisimple Lie groups $S O (n)$ ,…

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

p-Harmonic and Complex Isoparametric Functions on the Lie Groups Rm⋉Rn and Rm⋉H2n+1

Proper r-harmonic functions from Riemannian manifolds

$p$ -Harmonic and Complex Isoparametric Functions on the Lie Groups $R^{m} ⋉ R^{n}$ and $R^{m} ⋉ H^{2 n + 1}$

Proper $r$ -harmonic functions from Riemannian manifolds