Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary

26 Sep 2018 Baltazar H. Da Silva A. Oliveira F.

The goal of this paper is to study weakly Einstein critical metrics of the volume functional on a compact manifold $M$ with smooth boundary $\partial M$. Here, we will give the complete classification for an $n$-dimensional, $n=3$ or $4,$ weakly Einstein critical metric of the volume functional with nonnegative scalar curvature... (read more)

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  • DIFFERENTIAL GEOMETRY