Holonomy pseudogroup of a manifold over the algebra of dual numbers and some its applications

DOI10.3103/S1066369X19020099zbMath1434.53032OpenAlexW2951885882MaRDI QIDQ2287050

Aleksandra A. Malyugina, Vadim V. jun. Shurygin

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19020099

zbMATH Keywords

foliationaffine manifoldtangent bundleWeil bundletangent manifoldfoliated bundlemanifold over algebra of dual numberstorus over algebra of dual numbers

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Rings with polynomial identity (16R99)

Related Items (1)

Holonomy pseudogroups of manifolds over Weil algebras

Cites Work

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• Radiance obstructions for smooth manifolds over Weil algebras
• The holonomic imperative and the homotopy groupoid of a foliated manifold
• Lagrange geometry on tangent manifolds
• Smooth manifolds over local algebras and Weil bundles
• Almost Tangent and Cotangent Structures in the Large
• The Radiance Obstruction and Parallel Forms on Affine Manifolds

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