Results 1 to 10 of about 557 (127)
Homogeneous Structures and Homogeneous Geodesics of the Hyperbolic Oscillator Group
AxiomsIn this paper, we study some homogeneity properties of a semi-direct extension of the Heisenberg group, known in literature as the hyperbolic oscillator (or Boidol) group, equipped with the left-invariant metrics corresponding to the ones of the ...
Giovanni Calvaruso +3 more
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Compact Riemannian Manifolds with Homogeneous Geodesics [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and give some sufficient conditions
Dmitrii V. Alekseevsky +1 more
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Two-step Homogeneous Geodesics in Homogeneous Spaces
Taiwanese Journal of Mathematics, 2016 18 ...
Andreas Arvanitoyeorgos +1 more
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Affine symmetry, geodesics, and homogeneous spacetimes [PDF]
General Relativity and Gravitation, 2018 To appear in General Relativity and Gravitation.
C G Torre
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Homogeneous geodesics in homogeneous Finsler spaces
Journal of Geometry and Physics, 2007 In this paper, we study homogeneous geodesics in homogeneous Finsler spaces. We first give a simple criterion that characterizes geodesic vectors. We show that the geodesics on a Lie group, relative to a bi-invariant Finsler metric, are the cosets of the one-parameter subgroups.
Dariush Latifi
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The Existence of Two Homogeneous Geodesics in Finsler Geometry [PDF]
Symmetry, 2019 The existence of a homogeneous geodesic in homogeneous Finsler manifolds was positively answered in previous papers. However, the result is not optimal. In the present paper, this result is refined and the existence of at least two homogeneous geodesics in any homogeneous Finsler manifold is proved.
Zdenek Dusek
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A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Opuscula Mathematica, 2005 Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
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Rank inequality in homogeneous Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 This is a survey on some recent progress in homogeneous Finsler geometry. Three topics are discussed, the classification of positively curved homogeneous Finsler spaces, the geometric and topological properties of homogeneous Finsler spaces satisfying $K\
Ming Xu
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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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The noncommutative space of light-like worldlines
Physics Letters B, 2022 The noncommutative space of light-like worldlines that is covariant under the light-like (or null-plane) κ-deformation of the (3+1) Poincaré group is fully constructed as the quantization of the corresponding Poisson homogeneous space of null geodesics ...
Angel Ballesteros +2 more
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