XXVIII Workshop on Geometric Methods in Physics | 28.06-04.07.2009 |

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## Rotkiewicz Mikolaj## Higher vector bundlesIt is a simple natural condition assuring that an action of the multiplicative monoid of non-negative reals on a manifold $F$ comes from homoteties of a vector bundle structure on $F$. We use it to show that double (or higher) vector bundles present in the literature can be equivalently defined as manifolds with a family of commuting Euler vector fields. The canonical examples are (iterated) tangent and cotangent bundles $TE$, $T^*E$, $TT^*E$, etc., of a vector bundle $E$. |