A remarkable transformation group on cotangent bundle.

Purcaru, Monica

Displaying similar documents to “A remarkable transformation group on cotangent bundle.”

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.

Some vector subbundles of a cotangent bundle of order 2

Jacek Gancarzewicz (1983)

Annales Polonici Mathematici

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Nondegenerate antisymmetrical structures in the bundle of accelerations.

Purcaru, Monica, Stoica, Emil, Târnoveanu, Mirela (2002)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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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.