Results 181 to 190 of about 912 (205)

Homogeneous geodesics in homogeneous Randers spaces -- examples

2020
Summary: In this paper, we study homogeneous geodesics in homogeneous Randers spaces. we give a four dimensional example and we obtain homogeneous geodesics of this space in some special cases.
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Integrable geodesic flows on homogeneous spaces

Sbornik: Mathematics, 2001
Consider a compact Lie group \(G\) endowed with a bi-invariant metric, a closed subgroup \(H\), and the homogeneous space \(M= G/H\), endowed with its geodesic flow \(O\). Let \(f_1,\dots, f_\ell\) be a basis of \(O\)-invariant real functions on \(T^1M\). For \(x\in M\), consider the subspace \(F_x\) of \(T^*_x M\) spanned by \(df_1(x),\dots, df_\ell(x)
Bolsinov, A. V., Jovanovič, Božidar Žarko   +1 more
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On the existence of homogeneous geodesic in homogeneous Finsler spaces

Journal of Geometry and Physics, 2018
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Zaili Yan, Libing Huang
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Geodesic graphs with homogeneity conditions

Doklady Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gavrilyuk, A. L., Makhnev, A. A.
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Magnetic Geodesic Flows on Homogeneous Manifolds

Russian Physics Journal, 2014
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Homogeneous Riemannian manifolds with only one homogeneous geodesic

Publicationes Mathematicae Debrecen, 2003
Summary: \textit{O. Kowalski} and \textit{J. Szenthe} [Geom. Dedicata 81, No. 1-3, 209--214 (2000; Zbl 0980.53061), Erratum ibid. 84, 331--332 (2001)] proved that each homogeneous Riemannian manifold \((M, g)\) admits at least one homogeneous geodesic, i.e., a geodesic which is an orbit of a one-parameter group of isometries.
Kowalski, Oldřich, Vlášek, Zdeněk
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Light-like homogeneous geodesics and the geodesic lemma for any signature

Publicationes Mathematicae Debrecen, 2007
Summary: Homogeneous geodesics on homogeneous Riemannian manifolds have been studied by many authors. The fundamental tool is the so-called geodesic lemma. On pseudo-Riemannian manifolds, a generalization of the geodesic lemma is necessary. Physicists already know and use the generalized version.
Dušek, Zdeněk, Kowalski, Oldřich
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Geodesic symmetries of homogeneous K�hler Manifolds

Geometriae Dedicata, 1981
D'Atri and Nickerson [6], [7] have given necessary conditions for the geodesic symmetries of a Riemannian manifold to preserve the volume element. We use their results to show that ifG is a compact simple Lie group,T is a maximal torus ofG, andG/T is not symmetric, then anyG-invariant Kahler metric onG/T does not have volume-preserving geodesic ...
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HOMOGENEOUS SPACES OF NONPOSITIVE CURVATURE AND THEIR GEODESIC FLOW

International Journal of Mathematics, 1995
Consider the geodesic flow on the unit tangent bundle SH of a 1-connected, irreducible homogeneous space H of nonpositive curvature. We prove that any flow invariant, isometry invariant C0-function on SH is necessarily constant, unless H is symmetric of higher rank.
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Some Finsler spaces with homogeneous geodesics

Mathematische Nachrichten, 2016
A geodesic in a homogeneous Finsler space is called a homogeneous geodesic if it is an orbit of a one‐parameter subgroup of G. A homogeneous Finsler space is called Finsler g.o. space if its all geodesics are homogeneous. Recently, the author studied Finsler g.o. spaces and generalized some geometric results on Riemannian g.o.
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