On conformal diffeomorphisms of complete Riemannian manifolds with parallel Ricci tensor

Yoshihiro TASHIRO; Kumao MIYASHITA

doi:10.2969/jmsj/02310001

Yoshihiro TASHIRO, Kumao MIYASHITA

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1971 Volume 23 Issue 1 Pages 1-10

DOI https://doi.org/10.2969/jmsj/02310001

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Published: 1971 Received: October 06, 1969 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] S. Ishihara and M. Obata, Affine transformations in a Riemannian manifold, Tôhoku Math. J., 7 (1955), 146-150.
[2] S. Ishihara and Y. Tashiro, On Riemannian manifolds admitting a concircular transformation, Math. J. Okayama Univ., 9 (1959), 19-47.
[3] S. Kobayashi, A theorem on the affine transformation group of a Riemannian manifold, Nagoya Math. J., 9 (1955), 39-41.
[4] S. B. Myers, Riemannian manifolds with positive mean curvature, Duke Math. J., 8 (1941), 401-404.
[5] T. Nagano, The conformal transformation on a space with parallel Ricci tensor, J. Math. Soc. Japan, 11 (1959), 10-14.
[6] N. Tanaka, Conformal connections and conformal transformations, Trans. Amer. Math. Soc., 92 (1959), 168-190.
[7] Y. Tashiro, Remarks on a theorem concerning conformal transformations, Proc. Japan Acad., 35 (1959), 421-422.
[8] Y. Tashiro, Complete Riemannian manifolds and some vector fields, Trans. Amer. Math. Soc., 117 (1965), 251-275.
[9] Y. Tashiro, Conformal transformations in complete Riemannian manifolds, Publ. of the Study Group of Geometry of Japan, 3 (1967).
[10] Y. Tashiro and K. Miyashita, Conformal transformations in complete product Riemannian manifolds, J. Math. Soc. Japan, 19 (1967), 328-346.
[11] K. Yano and T. Nagano, Einstein spaces admitting a one-parameter group of conformal transformations, Ann. of Math., 69 (1959), 451-461.
[12] K. Yano and T. Nagano, The de Rham decomposition, isometries and affine transformations in Riemannian space, Japan. J. Math., 29 (1959), 173-184.

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