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.
Irena Čomić (1993)
Publications de l'Institut Mathématique
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Stavrinos, P.C. (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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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.
Purcaru, Monica (1997)
General Mathematics
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Josef Janyška, Ivan Kolář (1986)
Archivum Mathematicum
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Miroslav Doupovec, Włodzimierz M. Mikulski (2009)
Annales Polonici Mathematici
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The main result is the classification of all gauge bundle functors H on the category which admit gauge natural operators transforming principal connections on P → M into general connections on HP → M. We also describe all gauge natural operators of this type. Similar problems are solved for the prolongation of principal connections to HP → P. A special attention is paid to linear connections.
Miroslav Doupovec (2003)
Colloquium Mathematicae
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We introduce the concept of a dynamical connection on a time-dependent Weil bundle and we characterize the structure of dynamical connections. Then we describe all torsions of dynamical connections.
Stoica, Emil (1999)
Novi Sad Journal of Mathematics
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