Singular angles of weak limiting metrics under certain integral curvature bounds

Qing Chen, Xiuxiong Chen, Weiyong He
2007 Pacific Journal of Mathematics  
We prove that a nonvanishing weak limit of Riemannian metrics in surfaces with an integral curvature bound admits only weak cusp singularities. The result is useful toward generalizing classical uniformization theory to surfaces with boundary.
doi:10.2140/pjm.2007.231.35 fatcat:clf5x3k2azabrengbghutpe4km