On the Holonomy Groups of Linear Connections

Jun-Ichi Hano; Hideki Ozeki

doi:10.1017/S0027763000000106

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In this note we show in § 1, as the main result, that any connected Lie subgroup of the general linear group GL(n, R) can be realized as the holonomy group of a linear connection, i.e. the homogeneous holonomy group of the associeted affine connection, defined on an affine space of dimension n (n ≧ 2).

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On the Holonomy Groups of Linear Connections

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