Results 271 to 280 of about 32,179 (312)

Geodesics and Almost Geodesics Curves

Results in Mathematics, 2018
An \textit{almost geodesic} of an affine connection \(\nabla\) on a manifold is a curve \(x(t)\) in the manifold so that \[ \nabla^2_{\dot{x}}\dot{x}=a\nabla_{\dot{x}} \dot{x}+b\dot{x}, \] for some real-valued continuous functions \(a(t)\), \(b(t)\).
Olga Belova, Josef Mikeš, Karl Strambach   +2 more
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On SubRiemannian Geodesics

Analysis and Applications, 2003
We consider a subRiemannian geometry induced by a step 3 subelliptic partial differential operator in ℝ3. Our main result is the characterization of a canonical submanifold through the origin, all of whose points are connected to the origin by infinitely many (subRiemannian) geodesics.
Greiner, Peter, Calin, Ovidiu
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Geodesic as Limit of Geodesics on PL-Surfaces

2008
We study the problem of convergence of geodesics on PL-surfaces and in particular on subdivision surfaces. More precisely, if a sequence (Tn)n∈N of PL-surfaces converges in distance and in normals to a smooth surface S and if Cn is a geodesic of Tn (i.e.
André Lieutier, Boris Thibert
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Geodesic Forests

Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 2020
Together with the curse of dimensionality, nonlinear dependencies in large data sets persist as major challenges in data mining tasks. A reliable way to accurately preserve nonlinear structure is to compute geodesic distances between data points. Manifold learning methods, such as Isomap, aim to preserve geodesic distances in a Riemannian manifold ...
Meghana Madhyastha, Gongkai Li, Veronika Strnadová-Neeley, James Browne, Joshua T. Vogelstein, Randal C. Burns, Carey E. Priebe   +6 more
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Geodesic compatibility and integrability of geodesic flows

Journal of Mathematical Physics, 2003
We give a natural geometric condition called geodesic compatibility that implies the existence of integrals in involution of the geodesic flow of a pseudo-Riemannian metric. We prove that if two metrics satisfy the condition of geodesic compatibility then we can produce a hierarchy of metrics that also satisfy this condition. A lot of metrics studed in
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Geodesic merging

Synthese, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geodesic Revision

Journal of Logic and Computation, 2008
The purpose of this article is to introduce a class of distance-based iterated revision operators generated by minimizing the geodesic distance on a graph. Such operators correspond bijectively to metrics and have a simple finite presentation. As distance is generated by distinguishability, our framework is appropriate for modelling contexts where ...
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GEODESICS OF THE SIERPINSKI GASKET

Fractals, 2018
In this paper, we examine the number of geodesics between two points of the Sierpinski Gasket ([Formula: see text]) via code representations of the points and as a main result we show that the maximum number of geodesics between different two points with respect to the intrinsic metric on [Formula: see text] is five.
Saltan, Mustafa, Özdemir, Yunus, Demir, Bünyamin   +2 more
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Geodesic Active Contours

International Journal of Computer Vision, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vicent Caselles, Ron Kimmel, Guillermo Sapiro   +2 more
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Geodesic Loops

Journal of Lie Theory, 2000
In order to apply to the non-associative structures the fundamental ideas of Sophus Lie, namely to assign to any local Lie group \(G\) its tangent object in the identity element -- its Lie algebra -- which determines \(G\) in a unique way, the author studies here a very wide class of geodesic loops with respect to a linear connection the curvature of ...
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