. "718680" . . "RIV/00216224:14310/00:00003555!RIV09-GA0-14310___" . . "1"^^ . "IT - Italsk\u00E1 republika" . "63" . . "2"^^ . "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."@cs . . "0009-725X" . . . . . "Natural lifting of connections to vertical bundles"@cs . "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."@en . "[F7E4EE055148]" . "natural bundle; natural lifting; connection"@en . . "Natural lifting of connections to vertical bundles"@cs . "Rendiconti del Circolo Matematico di Palermo" . "Natural lifting of connections to vertical bundles"@en . "RIV/00216224:14310/00:00003555" . . . "Natural lifting of connections to vertical bundles"@en . "2000" . "Natural lifting of connections to vertical bundles" . "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." . "Mikulski, Wlodzimierz" . . "Natural lifting of connections to vertical bundles" . . "5"^^ . . . . "Kol\u00E1\u0159, Ivan" . "P(GA201/99/0296), Z(MSM 143100009)" . "14310" .