Lifts of geometric objects to the Weil bundle \(T^\mu M\) of a foliated manifold defined by an epimorphism \(\mu\) of Weil algebras

DOI10.3103/S1066369X07100040zbMath1298.58007MaRDI QIDQ462523

Vadim V. jun. Shurygin, Larisa B. Smolyakova

Publication date: 21 October 2014

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

Mathematics Subject Classification ID

Natural bundles (58A32)

Related Items

Lie jets and symmetries of prolongations of geometric objects ⋮ Some aspects of the theory of manifolds over algebras and Weil bundles ⋮ Complete lifting of double-linear semi-basic tangent valued forms to Weil like functors on double vector bundles

Cites Work

• Prolongation of connections to bundles of infinitely near points
• Prolongations of tensor fields and connections to the Weil bundles
• Integrable affinor structures and their plural interpretations.
• On the structure of complete varieties over Weil algebras
• An analog of the Vaisman-Molino cohomology for manifolds modelled on some types of modules over Weil algebras and its application
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