Exhaustion of isoperimetric regions in asymptotically hyperbolic manifolds with scalar curvature $R\ge -6$

Dandan Ji, Yuguang Shi, Bo Zhu

In this paper, aimed at exploring the fundamental properties of isoperimetric region in $3$-manifold $(M^3,g)$ which is asymptotic to Anti-de Sitter-Schwarzschild manifold with sca…