Proper harmonic maps between asymptotically hyperbolic manifolds
classification
🧮 math.DG
keywords
hyperbolicasymptoticallyharmonicmanifoldsmapsboundaryconditionsdirichlet
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Generalizing the result of Li and Tam for the hyperbolic spaces, we prove an existence theorem on the Dirichlet problem for harmonic maps with $C^1$ boundary conditions at infinity between asymptotically hyperbolic manifolds.
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