Results 21 to 30 of about 12,590 (237)
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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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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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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Compute algebra and thurston geometries [PDF]
Journal of Hyperstructures, 2016 The article illustrates the graphical study of geodesic motion on H3 , H2×R, N il3 and Sol3 using the symbolic and graphical computation of MATLAB platform.
Nemat Abazari, Masoud Sahraei
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Integrability of Geodesics of Totally Geodesic Metrics [PDF]
, 2019 Analysis of the geodesics in the space of signature $(1,3)$ that splits in two-dimensional distributions resulting from the Weyl tensor eignespaces - hyperbolic and elliptic ones - described in [V. Lychagin, V. Yumaguzhin, \emph{Differential invariants and exact solutions of the Einstein equations}, Anal.Math.Phys.
Kycia, Radosław A., Ułan, Maria
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The European Physical Journal CAbstractUsing effective field theory methods, we derive the Carrollian analog of the geodesic action. We find that it contains both “electric” and “magnetic” contributions that are in general coupled to each other. The equations of motion descending from this action are the Carrollian pendant of geodesics, allowing surprisingly rich dynamics.
Ciambelli, Luca, Grumiller, Daniel
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On properties of geodesic semilocal E-preinvex functions
Journal of Inequalities and Applications, 2018 The authors define a class of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functions, and some of its properties are ...
Adem Kılıçman, Wedad Saleh
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Branching Geodesics of the Gromov-Hausdorff Distance
Analysis and Geometry in Metric Spaces, 2022 In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
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On Translation Curves and Geodesics in
Mathematics, 2023 A translation curve in a homogeneous space is a curve such that for a given unit vector at the origin, translation of this vector is tangent to the curve in its every point.
Zlatko Erjavec, Marcel Maretić
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Variations on the Theme “Definition of the Orthodrome”
ISPRS International Journal of Geo-InformationA geodesic or geodetic line on a sphere is called the orthodrome. Research has shown that the orthodrome can be defined in a large number of ways. This article provides an overview of various definitions of the orthodrome.
Miljenko Lapaine
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