Complexes of differential forms associated with a normalized manifold over the algebra of dual numbers

DOI10.1134/S1995080216010066zbMath1341.58003MaRDI QIDQ280862

Aleksandra A. Malyugina, Vadim V. jun. Shurygin

Publication date: 10 May 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

tangent bundlealmost tangent structureAtiyah classmanifold over the algebra of dual numbersmanifold over Weil algebratangent manifold

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Differential complexes (58J10) Holomorphic bundles and generalizations (32L05)

Cites Work

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• Differential-geometric structures on manifolds
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Integrable almost tangent structures
• Lagrange geometry on tangent manifolds
• The structure of smooth mappings over Weil algebras and the category of manifolds over algebras
• Smooth manifolds over local algebras and Weil bundles
• Complex Analytic Connections in Fibre Bundles
• Affine bundles and integrable almost tangent structures
• De Rham cohomology11This paper was written during the author's visit to Universidad de Los Andes (Bogota, Colombia). The author is thankful to Departamento de Matemáticas, Facultad de Ciencias de Universidad de los Andes (Bogotá, Colombia), and Grupo Sanford for invitation, hospitality, and financial support during his visit in September-October, 2006. Also he expresses his deep gratitude to professor José Ricardo Arteaga Bejarano for useful cooperation and constant support.

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