INFINITESIMAL ISOMETRIES OF FRAME BUNDLES WITH A NATURAL RIEMANNIAN METRIC II

Abstract

We consider the bundle of all oriented orthonormal frames over an orientable Riemannian manifold. This bundle has a natural Riemannian metric which is defined by the Riemannian connection of the base manifold. The purpose of the present paper is to clarify the structure of the Lie algebra of the group of all isometries of the bundle with the Riemannian metric.