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

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.

References in corpus (5)

• Liouville Theorems for Dirac-Harmonic Maps
• Some aspects of Dirac-harmonic maps with curvature term
• Energy estimates for the supersymmetric nonlinear sigma model and applications
• Global existence of small equivariant wave maps on rotationally symmetric manifolds
• Energy methods for Dirac-type equations in two-dimensional Minkowski space

Cited by in corpus (5)

• A structure theorem for polyharmonic maps between Riemannian manifolds
• Stable cosmological Kaluza-Klein Spacetimes
• A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions
• Nonlinear Dirac equations, Monotonicity Formulas and Liouville Theorems
• Dirac-harmonic maps with potential