English

Global existence of Dirac-wave maps with curvature term on expanding spacetimes

Differential Geometry 2018-07-23 v2 Mathematical Physics Analysis of PDEs math.MP

Abstract

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 condition. In addition, we also prove a global existence result for wave maps under similar assumptions.

Keywords

Cite

@article{arxiv.1709.06520,
  title  = {Global existence of Dirac-wave maps with curvature term on expanding spacetimes},
  author = {Volker Branding and Klaus Kroencke},
  journal= {arXiv preprint arXiv:1709.06520},
  year   = {2018}
}