Some aspects of the theory of manifolds over algebras and Weil bundles

DOI10.1007/s10958-010-0051-6zbMath1226.53032OpenAlexW2058076405MaRDI QIDQ548741

Vadim V. jun. Shurygin

Publication date: 30 June 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0051-6

zbMATH Keywords

foliated manifoldWeil algebraWeil bundlesmooth manifoldradiant manifold

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differentiable manifolds, foundations (58A05)

Related Items (2)

Geometry of manifolds modeled on Hilbert modules ⋮ Affine transformations in bundles

Cites Work

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• Weil functors and product preserving functors on the category of parameter dependent manifolds
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• Affine bundles and integrable almost tangent structures
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• Connections of Higher Order and Product Preserving Functors
• The Radiance Obstruction and Parallel Forms on Affine Manifolds
• Product-preserving functors on smooth manifolds
• An analog of the Vaisman-Molino cohomology for manifolds modelled on some types of modules over Weil algebras and its application
• Iteration of fiber product preserving bundle functors

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