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math.DGDec 15, 2014
21
citations (OpenAlex)
authors
  • Volker Branding
institutions
  • TU Wien
arXiv abstractPDF
paper

Some aspects of Dirac-harmonic maps with curvature term

arXiv:1412.4705 · doi:10.1016/j.difgeo.2015.01.008

Abstract

We study several geometric and analytic aspects of Dirac-harmonic maps with curvature term from closed Riemannian surfaces.

References in corpus (1)

  • Liouville Theorems for Dirac-Harmonic Maps

Cited by in corpus (11)

  • Regularity of Solutions of the Nonlinear Sigma Model with Gravitino
  • Energy estimates for the supersymmetric nonlinear sigma model and applications
  • A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions
  • Global existence of Dirac-wave maps with curvature term on expanding spacetimes
  • On conservation laws for the supersymmetric sigma model
  • Energy methods for Dirac-type equations in two-dimensional Minkowski space
  • Nonlinear Dirac equations, Monotonicity Formulas and Liouville Theorems
  • A note on twisted Dirac operators on closed surfaces
  • Geometric analysis of the Yang-Mills-Higgs-Dirac model
  • Dirac-harmonic maps with potential
  • Relative energy gap for harmonic maps of Riemann surfaces into real analytic Riemannian manifolds
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