Results 21 to 30 of about 4,865,824 (373)
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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Wolff–Denjoy theorems in geodesic spaces [PDF]
Bulletin of the London Mathematical Society, 2021 22 pages.
Huczek, A., Wiśnicki, A.
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Nature, 1922 IN his letter in NATURE of November 25, replying to mine which appeared in NATURE of October 28, Prof. Piaggio points out that the equations of Space-Time geodesics may be deduced by other methods than those of the calculus of variations, and suggests that, in some such way, it is possible to get over the difficulties to which I directed attention.
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Time Discrete Geodesic Paths in the Space of Images [PDF]
SIAM Journal of Imaging Sciences, 2015 In this paper the space of images is considered as a Riemannian manifold using the metamorphosis approach, where the underlying Riemannian metric simultaneously measures the cost of image transport and intensity variation.
B. Berkels, Alexander Effland, M. Rumpf
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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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Rigidity of negatively curved geodesic orbit Finsler spaces [PDF]
, 2016 We prove some rigidity results on geodesic orbit Finsler spaces with non-positive curvature. In particular, we show that a geodesic Finsler space with strictly negative flag curvature must be a non-compact Riemannian symmetric space of rank one.Comment ...
Deng, Shaoqiang, Xu, Ming
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Geodesically equivalent metrics on homogenous spaces [PDF]
Czechoslovak Mathematical Journal, 2018 Two metrics on a manifold are geodesically equivalent if sets of their unparameterized geodesics coincide. In this paper we show that if two left $G$-invariant metrics of arbitrary signature on homogenous space $G/H$ are geodesically equivalent, they are affinely equivalent, i.e. they have the same Levi-Civita connection.
Bokan, Neda +2 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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Convex geodesic bicombings and hyperbolicity [PDF]
, 2014 A geodesic bicombing on a metric space selects for every pair of points a geodesic connecting them. We prove existence and uniqueness results for geodesic bicombings satisfying different convexity conditions. In combination with recent work by the second
Descombes, Dominic, Lang, Urs
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