Global existence of Dirac-wave maps with curvature term on expanding spacetimes
classification
🧮 math.DG
math-phmath.APmath.MP
keywords
existenceglobalmapscurvaturedirac-waveprovetermaddition
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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.
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