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Angular distribution of diameters for spheres and rays for planes - MaRDI portal

Angular distribution of diameters for spheres and rays for planes (Q494955)

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scientific article; zbMATH DE number 6479254
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Angular distribution of diameters for spheres and rays for planes
scientific article; zbMATH DE number 6479254

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    Angular distribution of diameters for spheres and rays for planes (English)
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    8 September 2015
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    This paper continues the studies of the diameter sphere theorem due to [\textit{K. Grove} and \textit{K. Shiohama}, Ann. Math. (2) 106, 201--211 (1977; Zbl 0341.53029)]. The authors obtain related results and give some conditions which ensure that a complete noncompact Riemannian \(n\)-manifold is diffeomorphic to an \(n\)-plane.
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    sphere
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    diameter
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    ray
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    plane
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