The structure of smooth mappings over Weil algebras and the category of manifolds over algebras.
Product preserving bundle functors on multifibered and multifoliate manifolds.
On the higher order geometry of Weil bundles over smooth manifolds and over parameter-dependent manifolds.
An analog of the Vaisman-Molino cohomology for manifolds modelled on some types of modules over Weil algebras and its application.
Lifts of Foliated Linear Connectionsto the Second Order Transverse Bundles
The second order transverse bundle of a foliated manifold carries a natural structure of a smooth manifold over the algebra of truncated polynomials of degree two in one variable. Prolongations of foliated mappings to second order transverse bundles are a partial case of more general -smooth foliated mappings between second order transverse bundles. We establish necessary and sufficient conditions under which a -smooth foliated diffeomorphism between two second order transverse bundles maps...
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