Structure equations of generalized connections
Ivan Kolář, Vladimír Lešovský (1982)
Časopis pro pěstování matematiky
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Displaying similar documents to “Principal prolongations and geometries modeled on homogeneous spaces.”
Structure equations of generalized connections
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
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 - are studied. A natural correspondence between sprays and a special class of homogeneous connections is presented.