Published: 1981 Received: June 16, 1979Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Wrong : 1) R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969) 1-49. 2) S. I. Goldberg and S. Kobayashi, The conformal transformation group of a compact Riemannian manifold, Amer. J. Math., 84 (1962) 170-174. 3) S. I. Goldberg and S. Kobayashi, The conformal transformation group of a compact homogeneous Riemannian manifold, Bull. Amer. Math. Soc., 68 (1962) 378-381. 4) C. C. Hsiung, On the group of conformal transformations of a compact Riemannian manifold, J. Differential Geometry, 2 (1968) 185-190. 5) A. Lichnerowicz, Sur les transformations conformes d'une variété riemannienne compacte, C. R. Acad. Sci. Paris, 259 (1964) 697-700. 6) T. Nagano, The conformal transformations on a space with parallel Ricci tensor, J. Math. Soc. Japan, 11 (1959) 10-14. 7) M. Obata, The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geometry, 6 (1971) 247-258. 8) K. Yano and T. Nagano, Einstein spaces admitting a one-parameter group of conformal transformations, Ann. of Math., 69 (1959) 451-461.
Right : [1] R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969) 1-49. [2] S. I. Goldberg and S. Kobayashi, The conformal transformation group of a compact Riemannian manifold, Amer. J. Math., 84 (1962) 170-174. [3] S. I. Goldberg and S. Kobayashi, The conformal transformation group of a compact homogeneous Riemannian manifold, Bull. Amer. Math. Soc., 68 (1962) 378-381. [4] C. C. Hsiung, On the group of conformal transformations of a compact Riemannian manifold, J. Differential Geometry, 2 (1968) 185-190. [5] A. Lichnerowicz, Sur les transformations conformes d'une variété riemannienne compacte, C. R. Acad. Sci. Paris, 259 (1964) 697-700. [6] T. Nagano, The conformal transformations on a space with parallel Ricci tensor, J. Math. Soc. Japan, 11 (1959) 10-14. [7] M. Obata, The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geometry, 6 (1971) 247-258. [8] K. Yano and T. Nagano, Einstein spaces admitting a one-parameter group of conformal transformations, Ann. of Math., 69 (1959) 451-461.
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