Natural lifting of connections to vertical bundles

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.

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.
Related projects:	Differential geometry of higher order Mathematical structures of algebra and geometry