A Lie group structure on the space of time-dependent vector fields

DOI10.1007/BF01318805zbMath0653.58006WikidataQ115393706 ScholiaQ115393706MaRDI QIDQ1107884

Andrea Posilicano

Publication date: 1988

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178382

zbMATH Keywords

flowstangentnon-commutative group structuretime-dependent vector fields

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Manifolds of mappings (58D15)

Related Items (4)

Geometrical and topological methods in optimal control theory ⋮ A product model for generalizing Poincaré-type Kähler metrics ⋮ Holonomy transformations for singular foliations ⋮ Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach.

Cites Work

• Commutators of \(C^{\infty}\)-diffeomorphisms. Appendix to A curious remark concerning the geometric transfer map by John N. Mather
• Unnamed Item

This page was built for publication: A Lie group structure on the space of time-dependent vector fields