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

Erwann Delay

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arXiv · 0803.2437

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

Erwann Delay

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Abstract

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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Erwann Delay. 2008-03-17. Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds. https://arxiv.org/abs/0803.2437

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