32 citations · 335 across the 47 of their papers we have counts for
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On the full bosonic string from Minkowski space to Riemannian manifolds
Volker Branding
We study the action of the full bosonic string for the domain being two-dimensional Minkowski space and the target a Riemannian manifold. Its critical points couple the wave map eq…
Some Remarks on Energy inequalities for harmonic maps with potential
Volker Branding
In this note we discuss how several results characterizing the qualitative behavior of solutions to the nonlinear Poisson equation can be generalized to harmonic maps with potentia…
The Ricci flow with metric torsion on closed surfaces
Volker Branding, Klaus Kroencke
The famous Uniformization Theorem states that on closed Riemannian surfaces there always exists a metric of constant curvature for the Levi-Cevita connection. In this article we pr…
Nonlinear Dirac equations, Monotonicity Formulas and Liouville Theorems
Volker Branding
We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas and…
Magnetic geodesics on surfaces with singularities
Volker Branding, Wayne Rossman
We prove that, generically, magnetic geodesics on surfaces will turn away from points with lightlike tangent planes, and we motivate our result with numerical solutions for closed…
A note on twisted Dirac operators on closed surfaces
Volker Branding
We derive an inequality that relates nodal set and eigenvalues of a class of twisted Dirac operators on closed surfaces and point out how this inequality naturally arises as an eig…