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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. |
KeywordsRiemannian metric, weak limit, singular angle |
Mathematical Subject ClassificationPrimary: 53C20 Secondary: 53C23 |
MilestonesReceived: 20 December 2005 |
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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