Some Lie algebras of vector fields on foliated manifolds and their derivation algebras

DOI10.3792/pjaa.55.409zbMath0473.57012OpenAlexW2009337976MaRDI QIDQ1158669

Yukihiro Kanie

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.409

zbMATH Keywords

derivation algebrasLie algebra of all leaf-tangent vector fieldsLie algebras of vector fields on foliated manifoldspartially conformally unimodular vector fieldpartially contact structurepartially symplectic structurepartially unimodular structure

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Deformations of general structures on manifolds (58H15) Differential forms in global analysis (58A10) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Cohomology of Lie (super)algebras (17B56) Foliations in differential topology; geometric theory (57R30)

Related Items (1)

Derivations of the Lie algebras of differential operators

Cites Work

• On the intransitive Lie algebras whose transitive parts are infinite and primitive
• Cohomologies of Lie algebras of vector fields with coefficients in adjoint representations. Foliated case
• Some lie algebras of vector fields and their derivations Case of partially classical type

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