Homogeneous geodesics and g.o. manifolds

DOI10.1285/i15900932v38n1p1zbMath1401.53041OpenAlexW2803769966MaRDI QIDQ4576036

Zdeněk Dušek

Publication date: 12 July 2018

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/19176

zbMATH Keywords

Killing vector fieldhomogeneous manifoldgeodesic vectorhomogeneous geodesicgeodesic lemma

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (9)

Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds ⋮ Geodesic orbit Finsler \((\alpha,\beta)\) metrics ⋮ Structure of geodesics in weakly symmetric Finsler metrics on H-type groups ⋮ Geodesic graphs in Randers g.o. spaces ⋮ Unnamed Item ⋮ Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds ⋮ Spectral properties of Killing vector fields of constant length ⋮ Compact geodesic orbit spaces with a simple isotropy group ⋮ Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields

Cites Work

• Homogeneous geodesics in pseudo-Riemannian nilmanifolds
• Existence of homogeneous geodesics on homogeneous Finsler spaces of odd dimension
• Finsler spaces whose geodesics are orbits
• Homogeneous geodesics in homogeneous Finsler spaces
• Homogeneous geodesics of three-dimensional unimodular Lorentzian Lie groups
• The existence of homogeneous geodesics in homogeneous pseudo-Riemannian and affine manifolds
• Compact Riemannian manifolds with homogeneous geodesics
• Homogeneous geodesics in homogeneous affine manifolds
• On geodesic graphs of Riemannian g. o. spaces
• Modified \(H\)-type groups and symmetric-like Riemannian spaces
• On the existence of homogeneous geodesics in homogeneous Riemannian manifolds
• Homogeneous geodesics in generalized Wallach spaces
• On the existence of homogeneous geodesic in homogeneous Finsler spaces
• A classification of locally homogeneous connections on 2-dimensional manifolds
• New examples of Riemannian g.o. manifolds in dimension 7
• Homogeneous geodesics of non-reductive homogeneous pseudo-Riemannian 4-manifolds
• Riemannian g.o. metrics in certain \(M\)-spaces
• Homogeneous Lorentzian spaces whose null-geodesics are canonically homogeneous
• On six-dimensional pseudo-Riemannian almost g.o. spaces
• Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds
• Penrose limits of homogeneous spaces
• Riemannian flag manifolds with homogeneous geodesics
• Survey on homogeneous geodesics
• Almost g.o. spaces in dimensions 6 and 7
• Structure of geodesics in the flag manifold SO(7)/U(3)
• On the Geometry of Groups of Heisenberg Type
• Commutative Algebras of Invariant Functions on Groups of Heisenberg Type
• Geodesic graphs on the 13–dimensional group of Heisenberg type
• Homogeneous manifolds whose geodesics are orbits. Recent results and some open problems
• The existence of light‐like homogeneous geodesics in homogeneous Lorentzian manifolds
• Non-reductive Homogeneous Pseudo-Riemannian Manifolds of Dimension Four
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