Marcelo Epstein, Manuel de León (1996)
Archivum Mathematicum
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We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.
Juraj Virsik (1967)
Czechoslovak Mathematical Journal
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Manuel de León, Marcelo Epstein (1996)
Extracta Mathematicae
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Marek Elzanowski, Serge Preston (1996)
Extracta Mathematicae
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Jan Slovák (1996)
Archivum Mathematicum
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We discuss frame bundles and canonical forms for geometries modeled on homogeneous spaces. Our aim is to introduce a geometric picture based on the non-holonomic jet bundles and principal prolongations as introduced in [Kolář, 71]. The paper has a partly expository character and we focus on very general aspects only. In the final section, various links to known results on the parabolic geometries are given briefly and some directions for further investigations are roughly indicated. ...
Paulette Libermann (2007)
Banach Center Publications
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We outline some of the tools C. Ehresmann introduced in Differential Geometry (fiber bundles, connections, jets, groupoids, pseudogroups). We emphasize two aspects of C. Ehresmann's works: use of Cartan notations for the theory of connections and semi-holonomic jets.
Miroslav Doupovec, Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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We introduce exchange natural equivalences of iterated nonholonomic, holonomic and semiholonomic jet functors, depending on a classical linear connection on the base manifold. We also classify some natural transformations of this type. As an application we introduce prolongation of higher order connections to jet bundles.