Regularity for Dirac-harmonic maps into certain pseudo-Riemannian manifolds
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2018
- DOI:
- 10.48550/arXiv.1807.11207
- arXiv:
- arXiv:1807.11207
- Bibcode:
- 2018arXiv180711207A
- Keywords:
-
- Mathematics - Analysis of PDEs;
- Mathematics - Differential Geometry;
- 58E20(Primary);
- 53C27(Secondary);
- 53C50(Secondary);
- 35J60(Secondary);
- 35B65(Secondary)
- E-Print:
- To appear in J. Funct. Anal