Toponogov comparison theorem for open triangles
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概要
- 論文の詳細を見る
The aim of our article is to generalize the Toponogov comparison theorem to a complete Riemannian manifold with smooth convex boundary. A geodesic triangle will be replaced by an open (geodesic) triangle standing on the boundary of the manifold, and a model surface will be replaced by the universal covering surface of a cylinder of revolution with totally geodesic boundary.
著者
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Kondo Kei
Department Of Legal Medicine Showa University School Of Medicine
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Kondo Kei
Department Of Mathematics Tokai University
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Tanaka Minoru
Department Of Anatomy Kyoto Prefectural University Of Medicine
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Tanaka Minoru
Department Of Mathematics Tokai University
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TANAKA Minoru
Department of Mathematics, Tokai University
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