Results 21 to 30 of about 13,504 (166)
Cumhuriyet Science Journal, 2022 Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface family and derive the conditions from a given common geodesic curve as an isoparametric curve ...
Zuhal Kucukarslan Yuzbasi
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Geodesic motion near self-gravitating scalar field configurations
Discrete and Continuous Models and Applied Computational Science, 2019 We study the geodesics motion of neutral test particles in the static spherically symmetric spacetimes of black holes and naked singularities supported by a selfgravitating real scalar field.
Ivan M. Potashov +2 more
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New Generalization of Geodesic Convex Function
Axioms, 2023 As a generalization of a geodesic function, this paper introduces the notion of the geodesic φE-convex function. Some properties of the φE-convex function and geodesic φE-convex function are established.
Ohud Bulayhan Almutairi, Wedad Saleh
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Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time [PDF]
Sahand Communications in Mathematical Analysis, 2022 In the present paper, we compute the conservation laws of the Vaidya-Bonner geodesic space-time metric in aRiemannian space and carry out the moving frame method for this metric.
Davood Farrokhi +2 more
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CoRR, 2012 We introduce the heat method for computing the shortest geodesic distance to a specified subset (e.g., point or curve) of a given domain. The heat method is robust, efficient, and simple to implement since it is based on solving a pair of standard linear elliptic problems. The method represents a significant breakthrough in the practical computation of
Crane, Keenan +2 more
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Geodesic walks in polytopes [PDF]
Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, 2017 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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Integrable geodesic flows on tubular sub-manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 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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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)
Thiffeault, Jean-Luc, Kamhawi, Khalid
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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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The Complexity of Geodesic Spanners
J. Comput. Geom., 2023 38 pages, 21 figures, a preliminary version appeared at SoCG ...
Sarita de Berg +2 more
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