Results 11 to 20 of about 83,771 (308)
Total geodesic curvature and geodesic torsion [PDF]
J. K. Whittemore
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For aC1{C^1}Riemann metric, we investigate questions concerning "curvature" and "C1{C^1}dependence of geodesics on initial conditions".
Philip Hartman
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Quasihyperbolic geodesics are hyperbolic quasi-geodesics [PDF]
This is a tale describing the large scale geometry of Euclidean plane domains with their hyperbolic or quasihyperbolic distances. We prove that in any hyperbolic plane domain, hyperbolic and quasihyperbolic quasi-geodesics are quantitatively the same curves. We also demonstrate the simultaneous Gromov hyperbolicity of such domains with their hyperbolic
Herron, David A., Buckley, Stephen M.
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On the equidistribution of closed geodesics and geodesic nets
We show that given a closed n n -manifold M M , for a Baire-generic set of Riemannian metrics g g on M M there exists a sequence of closed geodesics that are equidistributed in M M if n = 2 n=2 ; and an equidistributed ...
Li, Xinze, Staffa, Bruno
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13 pages, 27 figures. PDFLaTeX with RevTeX4-1 macros. Fixed some typos and updated references. Published in proceedings of the conference on "Chaos, Complexity, and Transport" (Le Pharo, Marseille, June 2007)
Khalid Kamhawi, Jean-Luc Thiffeault
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Geodesic complexity for non-geodesic spaces [PDF]
One major ...
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AbstractMotivated by the close relation between Aubry-Mather theory and minimal geodesies on a 2-torus we study the existence and properties of minimal geodesics in compact Riemannian manifolds of dimension ≥3. We prove that there exist minimal geodesics with certain rotation vectors and that there are restrictions on the rotation vectors of arbitrary ...
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Time-Course of Cortical Networks Involved in Working Memory
Working memory (WM) is one of the most studied cognitive constructs. Although many neuroimaging studies have identified brain networks involved in WM, the time course of these networks remains unclear.
Phan eLuu +8 more
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Information Geometry in Roegenian Economics
We characterise the geometry of the statistical Roegenian manifold that arises from the equilibrium distribution of an income of noninteracting identical economic actors.
Constantin Udriste, Ionel Tevy
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