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20192026
most citedExplicit p-harmonic functions on rank-one Lie groups of Iwasawa type

2 citations · 3 across the 8 of their papers we have counts for

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math.DG2020★ 1 cited

Explicit proper p-harmonic functions on the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n)

Sigmundur Gudmundsson, Anna Siffert, Marko Sobak

In this work we construct explicit complex-valued p-harmonic functions on the compact Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n). We also descri…

math.DG2020★ 2 cited

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

-Harmonic and Complex Isoparametric Functions on the Lie Groups and

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 …