Nondegenerate antisymmetrical structures in the bundle of accelerations.

Purcaru, Monica; Stoica, Emil; Târnoveanu, Mirela

Displaying similar documents to “Nondegenerate antisymmetrical structures in the bundle of accelerations.”

Almost symplectic structures on the linear frame bundle from linear connection

Anna Bednarska (2009)

Annales UMCS, Mathematica

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We describe all M fm-natural operators S: Q ↝ Symp P1 transforming classical linear connections ∇ on m-dimensional manifolds M into almost symplectic structures S(∇) on the linear frame bundle P1M over M.

A remarkable transformation group on cotangent bundle.

Purcaru, Monica (2003)

Balkan Journal of Geometry and its Applications (BJGA)

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Natural symplectic structures on the tangent bundle of a space-time

Janyška, Josef

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In this nice paper the author proves that all natural symplectic forms on the tangent bundle of a pseudo-Riemannian manifold are pull-backs of the canonical symplectic form on the cotangent bundle with respect to some diffeomorphisms which are naturally induced by the metric.

Remarks on Special Symplectic Connections

Martin Panák, Vojtěch Žádník (2008)

Archivum Mathematicum

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The notion of special symplectic connections is closely related to parabolic contact geometries due to the work of M. Cahen and L. Schwachhöfer. We remind their characterization and reinterpret the result in terms of generalized Weyl connections. The aim of this paper is to provide an alternative and more explicit construction of special symplectic connections of three types from the list. This is done by pulling back an ambient linear connection from the total space of a natural scale...

Almost symplectic $N$ -linear connections in the bundle of accelerations.

Purcaru, Monica (1999)

Novi Sad Journal of Mathematics

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Displaying similar documents to “Nondegenerate antisymmetrical structures in the bundle of accelerations.”

Almost symplectic structures on the linear frame bundle from linear connection

A remarkable transformation group on cotangent bundle.

Natural symplectic structures on the tangent bundle of a space-time

Remarks on Special Symplectic Connections

Almost symplectic N -linear connections in the bundle of accelerations.

Almost symplectic $N$ -linear connections in the bundle of accelerations.