Results 11 to 20 of about 27,139 (294)
Total geodesic curvature and geodesic torsion [PDF]
Bulletin of the American Mathematical Society, 1923 J. K. Whittemore
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Proceedings of the American Mathematical Society, 1983 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]
Journal of the European Mathematical Society, 2020 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
Transactions of the American Mathematical Society, 2023 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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Chaos, Complexity and Transport, 2008 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]
Boletín de la Sociedad Matemática Mexicana, 2021 One major ...
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Ergodic Theory and Dynamical Systems, 1990 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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Geodesics and Translation Curves in
Mathematics, 2023 A translation curve in a Thurston space is a curve such that for given unit vector at the origin, the translation of this vector is tangent to the curve in every point of the curve. In most Thurston spaces, translation curves coincide with geodesic lines.
Zlatko Erjavec
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Integrability of Geodesics of Totally Geodesic Metrics [PDF]
, 2019 Analysis of the geodesics in the space of signature $(1,3)$ that splits in two-dimensional distributions resulting from the Weyl tensor eignespaces - hyperbolic and elliptic ones - described in [V. Lychagin, V. Yumaguzhin, \emph{Differential invariants and exact solutions of the Einstein equations}, Anal.Math.Phys.
Maria Ulan, Radoslaw Antoni Kycia
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