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Busemann G-Spaces, CAT(<em>k</em>) Curvature, and the Disjoint (0, <em>n</em>)-Cells PropertySafsten, Clarke Alexander 01 July 2017 (has links)
A review of geodesics and Busemann G-spaces is given. Aleksandrov curvature and the disjoint (0, n)-cells property are defined. We show how these properties are applied to and strengthened in Busemann G-spaces. We examine the relationship between manifolds and Busemann G-spaces and prove that all Riemannian manifolds are Busemann G-spaces, though not all metric manifolds are Busemann G-spaces. We show how Busemann G-spaces that also have bounded Aleksandrov curvature admit local closest-point projections to geodesic segments. Finally, we expound local properties of Busemann G-spaces and define a new property which we call the symmetric property. We show that Busemann G-spaces which have the disjoint (0,n)-cells property for every value of n cannot have the symmetric property.
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Teorema de Decomposição de Cheeger-Gromoll. / Cheeger-Gromoll Splitting theorem.Cavalcante, Marcius Petrúcio de Almeida 14 December 2007 (has links)
We demonstrate the Splitting Theorem due to Cheeger and
Gromoll, which ensures that a complete Riemannian n-manifold
which has nonnegative Ricci curvature and a line, can be split
isometrically into the Riemannian product of real with a (n-1 )-
manifold. / Conselho Nacional de Desenvolvimento Científico e Tecnológico / Demonstramos o Teorema de Decomposição de Cheeger-Gromoll, o qual garante que uma variedade Riemanniana completa ndimensional, com curvatura de Ricci não-negativa, que possui uma linha, pode ser decomposta isometricamente num produto Riemanniano de uma variedade (n-1 )-dimensional com o conjunto dos reais.
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Experimental Investigation of Contraction Ratio Influence on Scramjet Inlet Performance at Mach 5.85Linton, Megan Marie 18 May 2021 (has links)
No description available.
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HAUSDORFF DIMENSION OF DIVERGENT GEODESICS ON PRODUCT OF HYPERBOLIC SPACESYang, Lei 14 November 2014 (has links)
No description available.
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