1210.1005 (Romain Gicquaud et al.)

On the asymptotic behavior of Einstein manifolds with an integral bound
on the Weyl curvature    [PDF]

Romain Gicquaud, Dandan Ji, Yuguang Shi

In this paper we consider the geometric behavior near infinity of some Einstein manifolds $(X^n, g)$ with Weyl curvature belonging to a certain $L^p$ space. Namely, we show that if $(X^n, g)$, $n \geq 7$, admits an essential set and has its Weyl curvature in $L^p$ for some $1View original: http://arxiv.org/abs/1210.1005