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Showing 1 to 11 of 11 for “"SECTIONAL CURVATURE"”.
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Sampling From Stratified Spaces
… explicit forms of CLTs for spaces of constant sectional curvature. As a consequence, we explain the effect of sectional curvature on the behaviors of Frechet means. We then give a sufficient condition for a smeary CLT to occur on spheres. In the later part, we propose a general form of CLT for …
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Immersions of Positively Curved Manifolds Into Manifolds With Curvature Bounded Above
… If a compact manifold, M, with positive sectional curvature is isometrically immersed in some ambient space, N, what is the radius of the smallest ball in which its image lies? Additionally, when can the knowledge that the image lies inside a ball of restricted size be used to conclude …
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Well-Posedness Threshold and Moment Asymptotics of the Parabolic Anderson Model on Riemannian Manifolds
… we only consider settings with non-positive sectional curvature in this thesis. Specifically, we consider compact manifolds with non-positive sectional curvature and Cartan-Hadamard manifolds, due to our knowledge of how the heat kernel behaves on them. Although both problems are studied in …
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ΠΟΛΛΑΠΛΟΤΗΤΕΣ ΤΟΥ RIEMANN ΥΠΕΡΒΟΛΙΚΟΥ ΤΥΠΟΥ
… CARRY A RIEMANNIAN METRIC WITH STRICTLY NEGATIVE SECTIONAL CURVATURE. IT ISPROVED, THAT THE INDEX OF THE M- COVER OF ONE CLOSED GEODESIC ON A COMPACT RIEMANNIAN, MANIFOLD WITHOUT CONJUGATE POINTS IS ZERO, THAT MEANS INDEX ΛΜ CM = 0. IT IS ALSO PROVED, THAT THE SET OF CLOSED GEODESICS, ON A COMPACT …
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Método do ponto proximal inexato para minimização quase-convexa em variedades de Hadamard
… in Riemannian manifolds with non positive sectional curvature, called Hadamard manifolds. Then, we show that under mild hypotheses on the optimization problem, the sequence generated by the proposed method are well defined and converge to critical points of the problem. We also prove that …
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Self-adjoint Laplacians and Symmetric Diffusions on Hyperbolic Attractors
… by geodesic flows on manifolds of negative sectional curvature the Laplacians we consider are self-adjoint extensions of well-known classical leafwise Laplacians.
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Convexity and curvature in Lorentzian geometry
… satisfies $\mathcal{R} \geq K $ if the sectional curvatures are bounded below by $K$ for spacelike planes and above by $K$ for timelike planes (similarly, a space-time satisfies $\mathcal{R} \leq K$ if the aforementioned inequalities are reversed). We demonstrate that these curvature …
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Sugli spazi omogenei di dimensione tre SO(2) - isotropi
… 4 or 6, except for those of constant negative sectional curvature. The group of isometries of these spaces has a subgroup isomorphic to the group SO(2), so there exist surfaces of revolution around z-axis. We explicitly obtained the Lie algebra of the Killing vector fields and thus the group of …
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Post-Wildfire Debris Flow Susceptibility and Preconditioning Factors in the Central Okanagan
… Key predictive variables include cross-sectional curvature, basin Melton ratio, slope, burn severity, valley depth, and distance to stream, with a final precision-recall area-under-curve (PR-AUC) score of 0.953. Results indicate that debris flow susceptibility is highest in …
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On the Riemannian geometry of Seiberg-Witten moduli spaces
… metrics. We compute explicit formulae for the sectional curvature of the moduli space in terms of Green operators of the elliptic complex associated with a monopole. Further, we construct a Riemannian metric on the cobordism between moduli spaces for different perturbations. The second …
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Detecting topological properties of boundaries of hyperbolic groups
… action by isometries on a space with a negative curvature property, such as Gromov hyperbolicity. Such groups are surprisingly common: there is a sense in which a random group admits such an action, as do some groups of classical interest, such as fundamental groups of closed Riemannian manifolds …