activity
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

collaborators

9 papers

gr-qc2026

Static spherically symmetric electroweak models with fermions and gravity

Marko Sobak

In this article we provide a systematic reduction to static spherical symmetry for (classical) gauge theoretic models with structure group SU(2) x U(1), coupled to gravity. In part…

math.DG2026

The energy-momentum tensor of the Standard Model with applications to energy conditions

Volker Branding, Adam Lindström, Marko Sobak

The Standard Model of elementary particle physics is one of the most successful models of contemporary physics, its predictions being in full agreement with experiments. In this ma…

math.DG2026

Spherically symmetric Dirac-Yang-Mills pairs on Riemannian manifolds

Adam Lindström, Marko Sobak

In this paper we construct examples of spherically symmetric Dirac-Yang-Mills pairs on Riemannian 3-manifolds with the structure group SU(2). This approach yields coupled solutions…

math.DG2025

Global critical points of the Standard Model on four-dimensional spacetimes of expanding type

Volker Branding, Marko Sobak

The Standard Model of elementary particle physics is one of the most successful models of contemporary theoretical physics being in full agreement with experiments. However, its ma…

math-ph2023

Einstein-Yang-Mills wormholes haunted by a phantom field

Marko Sobak

In this article, we study wormhole spacetimes in the framework of the static spherically symmetric SU(2) Einstein-Yang-Mills theory coupled to a phantom scalar field. We show rigor…

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 …

math.DG2019

Proper -harmonic functions from Riemannian manifolds

Sigmundur Gudmundsson, Marko Sobak

We introduce a new method for constructing complex-valued -harmonic functions on Riemannian manifolds. We then apply this method for the important semisimple Lie groups ,…