Principal prolongations and geometries modeled on homogeneous spaces.

Slovák, J.

Displaying similar documents to “Principal prolongations and geometries modeled on homogeneous spaces.”

Structure equations of generalized connections

Ivan Kolář, Vladimír Lešovský (1982)

Časopis pro pěstování matematiky

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Connections on higher order principal prolongations

Vašík, Petr

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Geometric constructions of connections on the higher order principal prolongations of a principal bundle are considered. Moreover, the existing differences among connections on non-holonomic, semiholonomic and holonomic principal prolongations are discussed.

Higher order Cartan connections.

Virsik, G. (1996)

Archivum Mathematicum

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On prolongation of higher order connections

Miroslav Doupovec, Włodzimierz M. Mikulski (2011)

Annales Polonici Mathematici

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We describe all bundle functors G admitting natural operators transforming rth order holonomic connections on a fibered manifold Y → M into rth order holonomic connections on GY → M. For second order holonomic connections we classify all such natural operators.

Sprays and homogeneous connections on $𝐑 \times 𝑇𝑀$

Alexandr Vondra (1992)

Archivum Mathematicum

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The homogeneity properties of two different families of geometric objects playing a crutial role in the non-autonomous first-order dynamics - semisprays and dynamical connections on $R \times T M$ - are studied. A natural correspondence between sprays and a special class of homogeneous connections is presented.