A note on the scaling limit of a complete open surface (Q1903383)
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scientific article; zbMATH DE number 821720
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the scaling limit of a complete open surface |
scientific article; zbMATH DE number 821720 |
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A note on the scaling limit of a complete open surface (English)
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30 June 1996
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The author proved in Jap. J. Math., New Ser. 19, No. 2, 343-351 (1993; Zbl 0804.53062) that a pointed Hausdorff approximation map between connected, complete and noncompact Riemannian 2-manifolds with finite total curvature has a natural continuous extension to their ideal boundaries endowed with the Tits metrics. In this note the author proves that the scaling limit of such an \(M\) will be a flat cone generated by the ideal boundary of \(M\) equipped with the Tits metric.
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complete open surfaces
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Gauss-Bonnet theorem
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ideal boundary
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Tits metric
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0.8510722
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0.8468092
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0.8461283
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0.8450186
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0.84444594
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0.8430797
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