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Lagrange functions generating Poisson manifolds of geodesic arcs

Klapka, Lubomír (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Let $X$ a smooth finite-dimensional manifold and $W_{Γ} (X)$ the manifold of geodesic arcs of a symmetric linear connection $Γ$ on $X$ . In a previous paper [Differential Geometry and Applications (Brno, 1995) 603-610 (1996; Zbl 0859.58011)] the author introduces and studies the Poisson manifolds of geodesic arcs, i.e. manifolds of geodesic arcs equipped with certain Poisson structure. In this paper the author obtains necessary and sufficient conditions for that a given Lagrange function generates a Poisson manifold...

Liftings of 1-forms to some non product preserving bundles

Doupovec, Miroslav, Kurek, Jan (1998)

Proceedings of the 17th Winter School "Geometry and Physics"

Summary: The article is devoted to the question how to geometrically construct a 1-form on some non product preserving bundles by means of a 1-form on an original manifold $M$ . First, we will deal with liftings of 1-forms to higher-order cotangent bundles. Then, we will be concerned with liftings of 1-forms to the bundles which arise as a composition of the cotangent bundle with the tangent or cotangent bundle.

List of participants

(1997)

Proceedings of the 16th Winter School "Geometry and Physics"

List of participants

(1998)

Proceedings of the 17th Winter School "Geometry and Physics"

List of participants

(2001)

Proceedings of the 20th Winter School "Geometry and Physics"

List of participants

(1999)

Proceedings of the 18th Winter School "Geometry and Physics"

List of participants

(2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Local and global aspects of separating coordinates for the Klein-Gordon equation

Hinterleitner, Franz (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

The author considers the Klein-Gordon equation for $(1 + 1)$ -dimensional flat spacetime. He is interested in those coordinate systems for which the equation is separable. These coordinate systems are explicitly known and generally do not cover the whole plane. The author constructs tensor fields which he can use to express the locus of points where the coordinates break down.

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