Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds
Mathematical Physics
2008-03-18 v1 math.MP
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.
Cite
@article{arxiv.0803.2437,
title = {Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds},
author = {Erwann Delay},
journal= {arXiv preprint arXiv:0803.2437},
year = {2008}
}