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On condition ( a f ) of a stratified mapping

Satoshi Koike (1983)

Annales de l'institut Fourier

For a stratified mapping f , we consider the condition ( a f ) concerning the kernel of the differential of f . We show that the condition ( a f ) is equivalent to the condition ( a f S ) which has a more obvious geometric content.

On contact p -spheres

Mathias Zessin (2005)

Annales de l’institut Fourier

We study invariant contact p -spheres on principal circle-bundles and solve the corresponding existence problem in dimension 3. Moreover, we show that contact p - spheres can only exist on ( 4 n - 1 ) -dimensional manifolds and we construct examples of contact p -spheres on such manifolds. We also consider relations between tautness and roundness, a regularity property concerning the Reeb vector fields of the contact forms in a contact p -sphere.

On curves and jets of curves on supermanifolds

Andrew James Bruce (2014)

Archivum Mathematicum

In this paper we examine a natural concept of a curve on a supermanifold and the subsequent notion of the jet of a curve. We then tackle the question of geometrically defining the higher order tangent bundles of a supermanifold. Finally we make a quick comparison with the notion of a curve presented here are other common notions found in the literature.

On foliations in Sikorski differential spaces with Brouwerian leaves

Włodzimierz Waliszewski (1991)

Annales Polonici Mathematici

The class of locally connected and locally homeomorphically homogeneous topological spaces such that every one-to-one continuous mapping of an open subspace into the space is open has been considered. For a foliation F [3] on a Sikorski differential space M with leaves having the above properties it is proved that for some open sets U in M covering the set of all points of M the connected components of U ∩ L̲ in the topology of M coincide with the connected components in the topology of L for L∈...

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