4 papers · 1 filter
On the spectrum of the magnetic Dirac operator
Volker Branding, Nicolas Ginoux, Georges Habib
The magnetic Dirac operator describes the relativistic motion of a charged particle in a magnetic field. Although this operator got a lot of attention in physics many of its fundam…
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…
Conformal-biharmonic hypersurfaces in spheres and product spaces
V. Branding, S. Montaldo, S. Nistor +2
The conformal-bienergy functional is a modified version of the classical bienergy functional and it is conformally invariant in the case of a four-dimensional domain.…
Remarks on constructing biharmonic and conformal biharmonic maps to spheres
Volker Branding
Biharmonic and conformal-biharmonic maps are two fourth-order generalizations of the well-studied notion of harmonic maps in Riemannian geometry. In this article we consider maps i…