Particular -structure on vector bundle and compatible -connections.
Stoica, Emil (1999)
Novi Sad Journal of Mathematics
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Stoica, Emil (1999)
Novi Sad Journal of Mathematics
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Jacek Gancarzewicz (1983)
Annales Polonici Mathematici
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Janyška, J., Modugno, M. (1996)
Archivum Mathematicum
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B. Walczak (1980)
Annales Polonici Mathematici
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Purcaru, Monica (1997)
General Mathematics
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Mitric, Gabriel (1997)
General Mathematics
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Pedro L. García (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Aleksander Całka (1985)
Colloquium Mathematicae
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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.
Charles-Michel Marle (2007)
Banach Center Publications
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Around 1923, Élie Cartan introduced affine connections on manifolds and defined the main related concepts: torsion, curvature, holonomy groups. He discussed applications of these concepts in Classical and Relativistic Mechanics; in particular he explained how parallel transport with respect to a connection can be related to the principle of inertia in Galilean Mechanics and, more generally, can be used to model the motion of a particle in a gravitational field. In subsequent papers,...
Josef Janyška, Marco Modugno (1996)
Archivum Mathematicum
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All natural operations transforming linear connections on the tangent bundle of a fibred manifold to connections on the 1-jet bundle are classified. It is proved that such operators form a 2-parameter family (with real coefficients).