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Projection-spectra

Alexandroff, P., Ponomarev, V. (1967)

General Topology and its Relations to Modern Analysis and Algebra

Prolongation of vector fields to jet bundles

Kolář, Ivan, Slovák, Jan (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation J r Y are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M.

Properties of product preserving functors

Gancarzewicz, Jacek, Mikulski, Włodzimierz, Pogoda, Zdzisław (1994)

Proceedings of the Winter School "Geometry and Physics"

A product preserving functor is a covariant functor ℱ from the category of all manifolds and smooth mappings into the category of fibered manifolds satisfying a list of axioms the main of which is product preserving: ℱ ( M 1 × M 2 ) = ℱ ( M 1 ) × ℱ ( M 2 ) . It is known that any product preserving functor ℱ is equivalent to a Weil functor T A . Here T A ( M ) is the set of equivalence classes of smooth maps ϕ : ℝ n → M and ϕ , ϕ ' are equivalent if and only if for every smooth function f : M → ℝ the formal Taylor series at 0 of f ∘ ϕ and f ∘ ϕ ' are equal in A = ℝ [ [ x 1 , ⋯ , x n ] ] / 𝔞 . In this paper all...

Currently displaying 101 – 120 of 123