32 citations · 335 across the 47 of their papers we have counts for
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A Liouville-type theorem for biharmonic maps between complete Riemannian manifolds with small energies
Volker Branding
We prove a Liouville-type theorem for biharmonic maps from a complete Riemannian manifold of dimension \(n\) that has a lower bound on its Ricci curvature and positive injectivity…
A global weak solution to the full bosonic string heat flow
Volker Branding
We prove the existence of a unique global weak solution to the full bosonic string heat flow from closed Riemannian surfaces to an arbitrary target under smallness conditions on th…
Global existence of Dirac-wave maps with curvature term on expanding spacetimes
Volker Branding, Klaus Kroencke
We prove the global existence of Dirac-wave maps with curvature term with small initial data on globally hyperbolic manifolds of arbitrary dimension which satisfy a suitable growth…
Energy methods for Dirac-type equations in two-dimensional Minkowski space
Volker Branding
In this article we develop energy methods for a large class of linear and nonlinear Dirac-type equations in two-dimensional Minkowski space. We will derive existence results for se…
On conservation laws for the supersymmetric sigma model
Volker Branding
We derive conservation laws for Dirac-harmonic maps and their extensions to manifolds that have isometries, where we mostly focus on the spherical case. In addition, we discuss sev…