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Singular angles of
weak limiting metrics under certain integral curvature
bounds
Qing Chen, Xiuxiong Chen and Weiyong He |
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Vol. 231 (2007), No. 1, 35–49
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Abstract |
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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. |
Keywords
Riemannian metric, weak limit, singular angle
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Mathematical Subject Classification 2000
Primary: 53C20
Secondary: 53C23
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Milestones
Received: 20 December 2005
Accepted: 2 June 2006
Published: 1 May 2007
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Authors |
| Qing Chen | |
| Department of Mathematics University of Science and Technology of China Hefei, Anhui, 230026 China |
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| Xiuxiong Chen | |
| Department of Mathematics University of Wisconsin 480 Lincoln Drive Madison WI 53706-1388 United States |
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| Weiyong He | |
| Department of Mathematics University of Science and Technology of China Hefei, Anhui, 230026 China |
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