Results 31 to 40 of about 32,179 (312)
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)
Thiffeault, Jean-Luc, Kamhawi, Khalid
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Integrable geodesic flows on tubular sub-manifolds
In this paper we construct a new class of surfaces whose geodesic flow is integrable (in the sense of Liouville). We do so by generalizing the notion of tubes about curves to 3-dimensional manifolds, and using Jacobi fields we derive conditions under ...
Thomas Waters
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Compute algebra and thurston geometries [PDF]
The article illustrates the graphical study of geodesic motion on H3 , H2×R, N il3 and Sol3 using the symbolic and graphical computation of MATLAB platform.
Nemat Abazari, Masoud Sahraei
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The Complexity of Geodesic Spanners
38 pages, 21 figures, a preliminary version appeared at SoCG ...
Sarita de Berg +2 more
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Quasiconformal and geodesic trees [PDF]
A quasiconformal tree is a metric tree that is doubling and of bounded turning. We prove that every quasiconformal tree is quasisymmetrically equivalent to a geodesic tree with Hausdorff dimension arbitrarily close to ...
Bonk, M, Meyer, D
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Geodesic graphs in Randers g.o. spaces [PDF]
summary:The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, in particular to homogeneous Randers g.o. manifolds. On modified H-type groups which admit a Riemannian g.o. metric, invariant Randers g.o.
Dušek, Zdeněk
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Branching Geodesics of the Gromov-Hausdorff Distance
In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
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On Translation Curves and Geodesics in
A translation curve in a homogeneous space is a curve such that for a given unit vector at the origin, translation of this vector is tangent to the curve in its every point.
Zlatko Erjavec, Marcel Maretić
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Geodesic walks in polytopes [PDF]
We introduce the geodesic walk for sampling Riemannian manifolds and apply it to the problem of generating uniform random points from polytopes in R^n specified by m inequalities. The walk is a discrete-time simulation of a stochastic differential equation (SDE) on the Riemannian manifold equipped with the metric induced by the Hessian of a convex ...
Yin Tat Lee, Santosh S. Vempala
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Quantum lump dynamics on the two-sphere [PDF]
It is well known that the low-energy classical dynamics of solitons of Bogomol'nyi type is well approximated by geodesic motion in M_n, the moduli space of static n-solitons.
Krusch, Steffen
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