Abstract

Let M be a manifold with an affine connection and L(M) be the bundle of linear frames over M. Let θ and ω denote the canonical form and the connection form on L(M) respectively. We recall (§ 1 of Chapter II) that a transformation f of M is said to be affine if the induced automorphism f of L(M) leaves ω invariant. We quote the following result established earlier (see Theorem 1.3 of Chapter II).

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