Global ETD Search

1	Busemann G-Spaces, CAT(<em>k</em>) Curvature, and the Disjoint (0, <em>n</em>)-Cells Property Safsten, 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. Busemann geodesic disjoint (0 n)-cells Aleksandrov curvature Mathematics
2	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. Isometria Fórmula de Weitzenbocil Laplaciano Decomposição de Cheeger-Gromoll Funções de Busemann Isometry Weitzenbock&#1497 s Formula Laplacian Splitting theorem of Cheeger-Gromoll Busemann functions
3	Experimental Investigation of Contraction Ratio Influence on Scramjet Inlet Performance at Mach 5.85 Linton, Megan Marie 18 May 2021 (has links) No description available. Aerospace Engineering Busemann inlet scramjet inlet performance hypersonic performance test contraction ratio
4	HAUSDORFF DIMENSION OF DIVERGENT GEODESICS ON PRODUCT OF HYPERBOLIC SPACES Yang, Lei 14 November 2014 (has links) No description available. Mathematics hyperbolic spaces geodesic flow Hausdorff dimension Busemann cocycle mixing geometrically finite critical exponent Bowen-Margulis-Sullivan measure Patterson-Sullivan measure

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