Published: 1967 Received: December 12, 1966Available on J-STAGE: September 26, 2006Accepted: -
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Date of correction: September 26, 2006Reason for correction: -Correction: CITATIONDetails: Right : [1] G. de Rham, Sur la réductibilité d'un espace de Riemann, Comment. Math. Helv., 26 (1952), 328-344. [2] S. Ishihara and M. Obata. Affine transformations in a Riemannian manifold, Tôhoku Math. J., 7 (1955), 146-150. [3] S. Kobayashi, A theorem on the affine transformation group of a Riemannian manifold, Nagoya Math. J., 9 (1955), 39-41. [4] S. Tachibana, Some theorems on locally product Riemannian spaces, Tôhoku Math. J., 12 (1960), 281-292. [5] N. Tanaka, Conformal connections and conformal transformations, Trans. Amer. Math. Soc., 92 (1959), 168-190. [6] Y. Tashiro, On conformal collineations, Math. J. Okayama Univ., 10 (1960), 75-85. [7] Y. Tashiro, Complete Riemannian manifolds and some vector fields, Trans. Amer. Math. Soc., 117 (1965), 251-275. [8] Y. Tashiro, On concircular scalar fields, Proc. Japan Acad., 41 (1965), 641-644. [9] K. Yano, Theory of Lie derivatives and its applications, North-Holland, Amsterdam, 1957. [10] K. Yano and T. Nagano, The de Rham decomposition, isometries and affine transformations in Riemannian space, Japan. J. Math., 29 (1959), 173-184.
Date of correction: September 26, 2006Reason for correction: -Correction: PDF FILEDetails: -