DETERMINING LIE ALGEBRA OF TRANSVERSE FOLIATED VECTOR FIELD OF THE EXTENSION OF DENSE LEAF LIE FOLIATION ON A COMPACT CONNECTED MANIFOLD

DOI10.17654/2277141722007OpenAlexW4296715307WikidataQ115234656 ScholiaQ115234656MaRDI QIDQ5040877

Cyrille Dadi

Publication date: 18 October 2022

Published in: Universal Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/2277141722007

zbMATH Keywords

Lie algebraLie groupfoliationLie foliationLie subalgebraLie subgroupextension of foliationfoliation having its dense leaveslocal central transverse vector fieldlocal Killing transverse vector fieldlocally constant sheaf of germs of local transverse Killing vector fields

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Connections (general theory) (53C05) Vector distributions (subbundles of the tangent bundles) (58A30)

Cites Work

• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Foliated manifolds with bundle-like metrics
• DENSE LEAF RIEMANNIAN FOLIATION ADMITTING A LIE EXTENSION ON A COMPACT CONNECTED MANIFOLD
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