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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156995We 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.Mathematical Physics35J50; 58J05; 35J70; 35J60; 35Q75Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifoldstext