Natural vector fields on tangent bundles

Václav Studený

Displaying similar documents to “Natural vector fields on tangent bundles”

Natural operators lifting functions to bundle functors on fibered manifolds

Włodzimierz M. Mikulski (1998)

Archivum Mathematicum

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The complete description of all natural operators lifting real valued functions to bundle functors on fibered manifolds is given. The full collection of all natural operators lifting projectable real valued functions to bundle functors on fibered manifolds is presented.

On the uniqueness of some differential invariants: $d$ , $[,]$ , $\nabla$

Demeter Krupka, Věra Mikolášová (1984)

Czechoslovak Mathematical Journal

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Regularity conditions for liftings of functions and vector fields to natural bundles

Włodzimierz M. Mikulski (1984)

Časopis pro pěstování matematiky

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The structure tensor and first order natural differential operators

Piotr Kobak (1992)

Archivum Mathematicum

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The notion of a structure tensor of section of first order natural bundles with homogeneous standard fibre is introduced. Properties of the structure tensor operator are studied. The universal factorization property of the structure tensor operator is proved and used for classification of first order $*$ -natural differential operators $\underset{̲}{D} : \underset{̲}{T \times T} \to \underset{̲}{T}$ for $n \geq 3$ .

Displaying similar documents to “Natural vector fields on tangent bundles”

Natural operators lifting functions to bundle functors on fibered manifolds

On the uniqueness of some differential invariants: d , [ , ] , ∇

Regularity conditions for liftings of functions and vector fields to natural bundles

The structure tensor and first order natural differential operators

On the uniqueness of some differential invariants: $d$ , $[,]$ , $\nabla$