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A Surface Family with a Mutual Geodesic Curve in Galilean 3-Space
Mathematics, 2023 This article gives an approach for establishing a surface family with a mutual geodesic curve in Galilean 3-space G3. Given a smooth space curve, we derive the sufficient and necessary condition for the given curve to be geodesic on it.
Awatif Al-Jedani, Rashad A. Abdel-Baky
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Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
Physics, 2021 The classical uncertainty principle inequalities are imposed over the general relativity geodesic equation as a mathematical constraint. In this way, the uncertainty principle is reformulated in terms of proper space–time length element, Planck length ...
David Escors, Grazyna Kochan
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Hypersurfaces With a Common Geodesic Curve in 4D Euclidean space E4
International Journal of Analysis and Applications, 2023 In this paper, we attain the problem of constructing hypersurfaces from a given geodesic curve in 4D Euclidean space E4. Using the Serret–Frenet frame of the given geodesic curve, we express the hypersurface as a linear combination of this frame and ...
Sahar H. Nazra
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Geodesic Learning With Uniform Interpolation on Data Manifold
IEEE Access, 2022 Recently with the development of deep learning on data representation and generation, how to sampling on a data manifold becomes a crucial problem for research.
Cong Geng +3 more
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Fundamental theorems of quasi-geodesic mappings of generalized-recurrent-parabolic spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In previous papers we studied mappings of pseudo-Riemannian spaces being mutually quasi-geodesic and almost geodesic of the 2nd type. As a result, we arrived at the quasi-geodesic mapping f: (Vn, gij, Fih) → (Vn, gij, Fih) of spaces with an affine ...
Irina Kurbatova +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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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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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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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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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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