activity
20092026
most citedHigher order energy functionals

32 citations · 335 across the 47 of their papers we have counts for

collaborators

47 papers

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.DG2024

More weakly biharmonic maps from the ball to the sphere

Volker Branding

In this note we prove the existence of two proper biharmonic maps between the Euclidean ball of dimension bigger than four and Euclidean spheres of appropriate dimensions. We will…

math.DG2023

Classification results for polyharmonic helices in space forms

Volker Branding

We derive various classification results for polyharmonic helices, which are polyharmonic curves whose geodesic curvatures are all constant, in space forms. We obtain a complete cl…

math.DG2023★ 5 cited

On the normal stability of triharmonic hypersurfaces in space forms

Volker Branding

This article is concerned with the stability of triharmonic maps and in particular triharmonic hypersurfaces. After deriving a number of general statements on the stability of trih…

math.DG2022

Infinite families of harmonic self-maps of ellipsoids in all dimensions

Volker Branding, Anna Siffert

We prove that for given , , and each with \begin{align*} a^2<4d (d+k-2)(k-2)^{-2} \end{align*} the ellipsoid $E_a:=\{…

math.DG2022

On p-harmonic self-maps of spheres

Volker Branding, Anna Siffert

In this manuscript we study rotationally -harmonic maps between spheres. We prove that for given, there exist infinitely many -harmonic self-maps of $\mathbb…