訂正日: 2006/09/26訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) V. Hlavaty, Holonomy group II, The Lie group induced by a tensor, J. Math. Mech., 8 (1959), 597-622. 2) S. Kobayashi and K. Yano, Prolongations of tensor fields and connections to tangent bundles, I. General theory and III. Holonomy groups, J. Math. Soc. Japan, 18 (1966), 194-210 and 19 (1967), 486-488. 3) A. Nijenhuis, On the holonomy groups of linear connections IA, IB, Proc. Kon. Ned. Akad. Amsterdam=Indag. Math., 15 (1953), 233-249. 4) Y. C. Wong, Recurrent tensors on a linearly connected differentiable manifold, Trans. Amer. Math. Soc., 99 (1961), 325-341.
Right : [1] V. Hlavaty, Holonomy group II, The Lie group induced by a tensor, J. Math. Mech., 8 (1959), 597-622. [2] S. Kobayashi and K. Yano, Prolongations of tensor fields and connections to tangent bundles, I. General theory and III. Holonomy groups, J. Math. Soc. Japan, 18 (1966), 194-210 and 19 (1967), 486-488. [3] A. Nijenhuis, On the holonomy groups of linear connections IA, IB, Proc. Kon. Ned. Akad. Amsterdam=Indag. Math., 15 (1953), 233-249. [4] Y. C. Wong, Recurrent tensors on a linearly connected differentiable manifold, Trans. Amer. Math. Soc., 99 (1961), 325-341.