English

Regularity for Dirac-harmonic maps into certain pseudo-Riemannian manifolds

Analysis of PDEs 2020-03-31 v2 Differential Geometry

Abstract

We show the smoothness of weakly Dirac-harmonic maps from a closed spin Riemann surface into stationary Lorentzian manifolds, and obtain a regularity theorem for a class of critical elliptic systems without anti-symmetry structures.

Keywords

Cite

@article{arxiv.1807.11207,
  title  = {Regularity for Dirac-harmonic maps into certain pseudo-Riemannian manifolds},
  author = {Wanjun Ai and Miaomiao Zhu},
  journal= {arXiv preprint arXiv:1807.11207},
  year   = {2020}
}

Comments

To appear in J. Funct. Anal

R2 v1 2026-06-23T03:18:37.018Z