Singular angles of weak limiting metrics under certain integral curvature bounds

• Autores: Qing Chen, Xiuxiong Chen, Weiyong He
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 231, Nº 1, 2007, págs. 35-50
• Idioma: inglés
• DOI: 10.2140/pjm.2007.231.35
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• Resumen

  • 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.