8 papers · 1 filter
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…
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:=\{…
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…
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…
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…
On harmonic and biharmonic maps from gradient Ricci solitons
Volker Branding
We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force b…