10 papers
Biconservative and Biharmonic Hypersurfaces in Product Spaces
V. Branding, S. Montaldo, C. Oniciuc +1
In this paper we investigate biconservative and biharmonic hypersurfaces in product spaces , where denotes the space form ${\…
Dirac-harmonic maps from manifolds with boundary via index theory
Volker Branding, Nicolas Ginoux
Dirac-harmonic maps are a mathematical version of the supersymmetric non-linear sigma model of quantum field theory. Since they arise as critical points of an unbounded energy func…
On the conformal-biharmonic stability of the identity map of Einstein manifolds
Volker Branding, Simona Nistor, Cezar Oniciuc
The identity map of an Einstein manifold is a critical point of both the classical energy functional and the conformal-bienergy functional. In this paper, we investigate the confor…
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…
On the normal stability of the 4-harmonic and the ES-4-harmonic hypersphere
Volker Branding
Both 4-harmonic and ES-4-harmonic maps are two higher order generalizations of the well-studied harmonic map equation given by a nonlinear elliptic partial differential equation of…
On conservation laws for polyharmonic maps
Volker Branding
This article provides an overview on various conservation laws for polyharmonic maps between Riemannian manifolds. Besides recalling that the variation of the energy for polyharmon…
On conformal biharmonic maps and hypersurfaces
Volker Branding, Simona Nistor, Cezar Oniciuc
In this article we initiate a thorough geometric study of the conformal bienergy functional which consists of the standard bienergy augmented by two additional curvature terms. The…