Results 11 to 20 of about 12,537 (310)
On the geometry of spaces of oriented geodesics [PDF]
Annals of Global Analysis and Geometry, 2011 Let M be either a simply connected pseudo-Riemannian space of constant curvature or a rank one Riemannian symmetric space (other than the octonion hyperbolic plane), and consider the space L(M) of oriented geodesics of M. The space L(M) is a smooth homogeneous manifold and in this paper we describe all invariant symplectic structures, (para)complex ...
Alekseevsky, Dmitri V. +2 more
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Generating Generalized Cylinder with Geodesic Base Curve According to Darboux Frame
Journal of New Theory, 2021 This paper aims to design a generalized cylinder with a geodesic base curve according to the Darboux frame in Euclidean 3-space. A generalized cylinder is a special ruled surface that is constructed by a continuous fixed motion of a generator line called
Nabil Althibany
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Geodesics in Lewis space–time [PDF]
Journal of Mathematical Physics, 1998 The geodesic equations are integrated for the Lewis metric and the effects of the different parameters appearing in the Weyl class on the motion of test particles are brought out. The appearance of a force parallel to the axial axis is without Newtonian analog and deserves particular attention.
Herrera, L., Santos, N. O.
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Chaotic motion around a black hole under minimal length effects
European Physical Journal C: Particles and Fields, 2020 We use the Melnikov method to identify chaotic behavior in geodesic motion perturbed by the minimal length effects around a Schwarzschild black hole. Unlike the integrable unperturbed geodesic motion, our results show that the perturbed homoclinic orbit,
Xiaobo Guo +4 more
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On canonical quasi-geodesic mappings of recurrent-parabolic spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 Studying of the entered earlier quasi-geodesic mappings of recurrent parabolic spaces continues. The express class of such mappings - canonical quasi-geodesic mappings is allocated. Geometrical objects, invariant under considered mappings are constructed.
Ірина Миколаївна Курбатова +1 more
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On the generalized Jacobi equation. [PDF]
, 2008 The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick V, Perlick, Volker
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Revisiting geodesic observers in cosmology
European Physical Journal C: Particles and Fields, 2021 Geodesic observers in cosmology are revisited. The coordinates based on freely falling observers introduced by Gautreau in de Sitter and Einstein-de Sitter spaces (and, previously, by Gautreau and Hoffmann in Schwarzschild space) are extended to general ...
Geneviève Vachon +2 more
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Fan’s inequality in geodesic spaces
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Constantin P. Niculescu, Ionel Roventa
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Generating Geodesic Flows and Supergravity Solutions [PDF]
, 2009 We consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacellike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike p-brane Solutions when they are lifted over a p ...
Trigiante, Mario +10 more
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Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic Spaces
Axioms, 2021 We consider Halpern’s and Mann’s types of iterative schemes to find a common minimizer of a finite number of proper lower semicontinuous convex functions defined on a complete geodesic space with curvature bounded above.
Kengo Kasahara, Yasunori Kimura
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