%0 Journal Article %T Holonomic spaces %A Pedro Sol¨®rzano %J - %D 2017 %R DOI Code: 10.1285/i15900932v37suppl1p141 %X The purpose of this note is to give a synthetic description of the intrinsic metric of a fiber F of the connection metric on a vector bundle E M over a riemannian manifold M endowed with a euclidean metric and a compatible connection. These metrics are described in terms of the action of the holonomy group and several properties are derived thereafter. In the process, a strong metric geometric meaning is given to the holonomy group %K Holonomy %K vector bundles %K connection metrics %K isoholonomic %K geodesics %U http://siba-ese.unisalento.it/index.php/notemat/article/view/17180