On the geometry of orbits of Killing vector fields

DOI10.1134/S0012266114120027zbMath1316.53039OpenAlexW2591782732WikidataQ115251540 ScholiaQ115251540MaRDI QIDQ2345802

A. Ya. Narmanov, S. S. Saitova

Publication date: 21 May 2015

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266114120027

zbMATH Keywords

distributionLie algebraintegral curve

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Global Riemannian geometry, including pinching (53C20) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (9)

On the geometry of the reachability set of vector fields ⋮ The stability of completely controllable systems ⋮ Geometry of orbits of vector fields and singular foliations ⋮ On the diffeomorphism groups of foliated manifolds ⋮ The Geometry of Vector Fields and Two Dimensional Heat Equation ⋮ On geometry of vector fields ⋮ On the group of diffeomorphisms of foliated manifolds ⋮ On the geometry of submersions ⋮ On the geometry of the set of orbits of Killing vector fields on Euclidean space

Cites Work

• On the limit sets of orbits of systems of vector fields
• The fundamental equations of a submersion
• On the differential geometry of foliations
• A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
• Orbits of Families of Vector Fields and Integrability of Distributions
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