Results 181 to 190 of about 639 (201)

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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Geodesics and Jacobi Fields in Bounded Homogeneous Domains

Proceedings of the American Mathematical Society, 1983
The authors study bounded homogeneous domains in \({\mathbb{C}}^ n\) endowed with the Bergman metric. In case D is symmetric it is well known that the sectional curvature is nonpositive, and as a consequence D has no focal points (in the sense that any nontrivial Jacobi field along a nontrivial geodesic \(\gamma\) vanishing at \(\gamma\) (0) has ...
D'Atri, J. E., Zhao, Yanda
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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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Totally geodesic orbits in homogeneous spaces

1996
Let M = G/H be a homogeneous space with G a compact, connected Lie group, H С G a closed subgroup and π : G →+ G/H the canonical projection. Let K С G be a closed subgroup and K(o) the orbit of o = π(H), under the restriction of α to K. Put dimK(o) = n.
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HOMOGENEITY AND ISOTROPY IN GEODESIC SPACES

The Quarterly Journal of Mathematics, 1958
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Homogeneous Geodesics of $4$-dimensional Solvable Lie Groups

International Electronic Journal of Geometry
We study homogeneous geodesics in $4$-dimensional solvable Lie groups $\mathrm{Sol}_0^4$, $\mathrm{Sol}_1^4$, $\mathrm{Sol}_{m,n}$ and $\mathrm{Nil}_4$.
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Homogeneous geodesics in solvable Lie groups

Acta Mathematica Hungarica, 2003
Giovanni Calvaruso, O Kowalski, Calvaruso Giovanni   +2 more
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