Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds

Details Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds

2008-03-17

arxiv.org/abs/0803.2437v1

Physics

Mathematical Physics

Scientific paper

We prove local existence of solutions to the extended constant scalar
curvature equations introduced by A. Butscher, in the asymptotically hyperbolic
setting. This gives a new local construction of asymptotically hyperbolic
metrics with constant scalar curvature.

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