Connection theory and parameter transformations

Kis, Bela

Displaying similar documents to “Connection theory and parameter transformations”

The Legendre transformation in differential spaces

Sasin, Wiesław, Multarzyński, Piotr

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The Legendre transformations on differential spaces (in the sense of Sikorski) is studied, and some properties for spaces with singularities are investigated. A mechanical interpretation of the Legendre transformation is also given.

Horizontal lift of tensor fields of type (1,1) from a manifold to its tangent bundle of higher order

Gancarzewicz, Jacek, Mahi, Salima, Rahmani, Noureddine

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Natural transformations of Weil functors into bundle functors

Mikulski, Włodzimierz M.

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[For the entire collection see Zbl 0699.00032.] Natural transformations of the Weil functor $T^{A}$ of A-velocities [, Commentat. Math. Univ. Carol. 27, 723-729 (1986; Zbl 0603.58001)] into an arbitrary bundle functor F are characterized. In the case where F is a linear bundle functor, the author deduces that the dimension of the vector space of all natural transformations of $T^{A}$ into F is finite and is less than or equal to $dim (F_{0} ℛ^{k})$ . The spaces of all natural transformations of Weil functors into...