Ehresmann connection for the canonical foliation on a manifold over a local algebra

DOI10.1007/BF02310963zbMath0897.53021OpenAlexW2084117410MaRDI QIDQ1358475

Vadim V. jun. Shurygin

Publication date: 14 July 1997

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02310963

zbMATH Keywords

horizontal distributionEhresmann connectionfoliated principal bundlemanifold over a local algebra

Mathematics Subject Classification ID

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

Related Items (2)

Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature

Cites Work

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• Affine manifolds with nilpotent holonomy
• Differential-geometric structures on manifolds
• Integrable almost tangent structures
• Foliated bundles and characteristic classes
• Manifolds over local algebras, which are equivalent to jet bundles
• COMPLEMENTARY DISTRIBUTIONS WHICH PRESERVE THE LEAF GEOMETRY AND APPLICATIONS TO TOTALLY GEODESIC FOLIATIONS

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