Natural lifting of connections to vertical bundles
| Authors | |
|---|---|
| Year of publication | 2000 |
| Type | Article in Periodical |
| Magazine / Source | Rendiconti del Circolo Matematico di Palermo |
| MU Faculty or unit | |
| 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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