An analogue of the holonomy bundle for a foliated manifold

DOI10.2748/tmj/1178228025zbMath0632.53033OpenAlexW1966059555MaRDI QIDQ1095412

James J. Hebda, Robert A. Blumenthal

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228025

zbMATH Keywords

foliationholonomyconnection

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (10)

Isometry group of Lorentz manifolds: a coarse perspective ⋮ A sufficient condition for the leaves of a totally umbilic foliation to be conformally complete ⋮ On doubly warped products ⋮ Ehresmann connections for a foliated manifold and certain kinds of rectangles without terminal vertex ⋮ A fiber bundle theorem ⋮ An extrinsic decomposition theorem and a slant tube theorem for a curvature netted hypersurface ⋮ The quadratic slice theorem and the equiaffine tube theorem for equiaffine Dupin hypersurfaces ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Twisted products in pseudo-Riemannian geometry

Cites Work

• COMPLEMENTARY DISTRIBUTIONS WHICH PRESERVE THE LEAF GEOMETRY AND APPLICATIONS TO TOTALLY GEODESIC FOLIATIONS
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