8 papers
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…
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…
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…
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.…
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…
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…