Induced Generalized Connections in Vector Subbundles
Irena Čomić (1993)
Publications de l'Institut Mathématique
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Displaying similar documents to “On transformation groups of -linear connections in the bundle of accelerations.”
Induced Generalized Connections in Vector Subbundles
Particular -structure on vector bundle and compatible -connections.
Stoica, Emil (1999)
Novi Sad Journal of Mathematics
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Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold.
Janyška, J., Modugno, M. (1996)
Archivum Mathematicum
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Some vector subbundles of a cotangent bundle of order 2
Jacek Gancarzewicz (1983)
Annales Polonici Mathematici
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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.
The works of Charles Ehresmann on connections: from Cartan connections to connections on fibre bundles
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,...
A necessary and sufficient condition for the existence of a bundle in differential spaces
B. Walczak (1980)
Annales Polonici Mathematici
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Natural transformations of connections on the first principal prolongation
Jan Vondra (2014)
Archivum Mathematicum
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We consider a vector bundle and the principal bundle of frames of . We determine all natural transformations of the connection bundle of the first order principal prolongation of principal bundle into itself.