Natural lifting of connections to vertical bundles

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Authors

KOLÁŘ Ivan MIKULSKI Wlodzimierez

Year of publication 2000
Type Article in Periodical
Magazine / Source Rendiconti del Circolo Matematico di Palermo
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords natural bundle; natural lifting; connection
Description Abstract. First we study the flow prolongation of projectable vector fields with respect to a bundle functor of order (r,s,q) on the category of fibered manifolds. Usign this approach, we constructs an operator transforming connections on a fibered manifold Y into connections on an arbitrary vertical bundle over Y. Then we deduce that this operator is the only natural one of finite order and we present a condition on vertical bundles over Y under which every natural operator in question has finite order.
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