On the isometry groups of Sasakian manifolds

Shûkichi TANNO

doi:10.2969/jmsj/02240579

Shûkichi TANNO

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JOURNAL FREE ACCESS

1970 Volume 22 Issue 4 Pages 579-590

DOI https://doi.org/10.2969/jmsj/02240579

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Published: 1970 Received: February 14, 1970 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: AFFILIATION Details: Wrong :
1) Tohoku University

Right :
1) Tôhoku University

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) L. P. Eisenhart, Continuous groups of transformations, Princeton Univ. Press, 1933.
2) G. Fubini, Sugli spazii che ammettono un gruppo continuo di movimenti, Ann. Mat. Pura Appl., (3) 8 (1903), 39-81.
3) Y. Hatakeyama, Y. Ogawa and S. Tanno, Some properties of manifolds with contact metric structure, Tohoku Math. J., 15 (1963), 42-48.
4) S. Ishihara, Homogeneous Riemannian spaces of four dimension, J. Math. Soc Japan, 7 (1955), 345-370.
5) S. Kobayashi and K. Nomizu, Foundations of differential geometry, Vol. I, Interscience, New York, 1963.
6) Y. Y. Kuo, On almost contact 3-structure, to appear in Tohoku Math. J.
7) M. Obata, On n-dimensional homogeneous spaces of Lie groups of dimension greater than n(n-1)/2, J. Math. Soc. Japan, 7 (1955), 371-388.
8) S. Sasaki, Almost contact manifolds, Lecture notes I, II, III, Tohoku University.
9) S. Tachibana and W. N. Yu, On a Riemannian space admitting more than one Sasakian structure, to appear.
10) S. Tanno, The automorphism groups of almost contact Riemannian manifolds, Tohoku Math. J., 21 (1969), 21-38.
11) S. Tanno, Sasakian manifolds with constant φ-holomorphic sectional curvature, Tohoku Math. J., 21 (1969), 501-507.
12) H. C. Wang, On Finsler spaces with completely integrable equations of Killing, J. London Math. Soc., 22 (1947), 5-9.
13) K. Yano, On n-dimensional Riemannian spaces admitting a group of motions of order n(n-1)/2+1, Trans. Amer. Math. Soc., 74 (1953), 260-279.

Right : [1] L. P. Eisenhart, Continuous groups of transformations, Princeton Univ. Press, 1933.
[2] G. Fubini, Sugli spazii che ammettono un gruppo continuo di movimenti, Ann. Mat. Pura Appl., (3) 8 (1903), 39-81.
[3] Y. Hatakeyama, Y. Ogawa and S. Tanno, Some properties of manifolds with contact metric structure, Tôhoku Math. J., 15 (1963), 42-48.
[4] S. Ishihara, Homogeneous Riemannian spaces of four dimension, J. Math. Soc Japan, 7 (1955), 345-370.
[5] S. Kobayashi and K. Nomizu, Foundations of differential geometry, Vol. I, Interscience, New York, 1963.
[6] Y. Y. Kuo, On almost contact 3-structure, to appear in Tôhoku Math. J.
[7] M. Obata, On n-dimensional homogeneous spaces of Lie groups of dimension greater than n(n-1)/2, J. Math. Soc. Japan, 7 (1955), 371-388.
[8] S. Sasaki, Almost contact manifolds, Lecture notes I, II, III, Tôhoku University.
[9] S. Tachibana and W. N. Yu, On a Riemannian space admitting more than one Sasakian structure, to appear.
[10] S. Tanno, The automorphism groups of almost contact Riemannian manifolds, Tôhoku Math. J., 21 (1969), 21-38.
[11] S. Tanno, Sasakian manifolds with constant ∅-holomorphic sectional curvature, Tôhoku Math. J., 21 (1969), 501-507.
[12] H. C. Wang, On Finsler spaces with completely integrable equations of Killing, J. London Math. Soc., 22 (1947), 5-9.
[13] K. Yano, On n-dimensional Riemannian spaces admitting a group of motions of order n(n-1)/2+1, Trans. Amer. Math. Soc., 74 (1953), 260-279.

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