On almost-analytic tensors of mixed type in a K-space

Sumio SAWAKI

doi:10.2969/jmsj/01320165

Sumio SAWAKI

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JOURNAL FREE ACCESS

1961 Volume 13 Issue 2 Pages 165-182

DOI https://doi.org/10.2969/jmsj/01320165

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Published: 1961 Received: November 21, 1960 Available on J-STAGE: August 29, 2006 Accepted: December 16, 1960 Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) S. Bochner, Vector fields and Ricci curvature, Bull. Amer. Math. Soc., 52 (1946), 776-797.
2) S. Bochner, Tensor fields and Ricci curvature in Hermitian metric, Proc. Nat. Acad. Sci. U.S.A., 37 (1951), 704-706.
3) A. Frölicher, Zur Differentialgeometrie der Komplexen Structuren, Math. Ann., 129 (1955), 50-95.
4) T. Fukami and S. Ishihara, Almost-Hermitian structure on S⁶, Tohoku Math. J., 7(1955), 151-156.
5) S. Koto, Some theorems on almost Kählerian spaces, J. Math. Soc. Japan, 12 (1960), 422-433.
6) S. Sawaki and S. Koto, On the analytic tensor in a compact Kaehler space, J. Fac. Niigata Univ. Ser. I, 1(1958), 77-84.
7) S. Sawaki, On almost-analytic vectors in almost-Hermitian spaces, J. Fac. Niigata Univ. Ser. I, 3(1960), 23-32.
8) S. Sawaki, On almost-analytic tensors in *O-spaces, Tohoku Math. J., 13 (1961), 154-178.
9) J. A. Schouten, Ricci calculus, Springer, 1954.
10) S. Tachibana, On almost-analytic vectors in certain almost-Hermitian manifolds, Tohoku Math J., 11(1959), 351-363.
11) S. Tachibana, Anlytic tensor and its generalization, Tohoku Math. J., 12 (1960),
12) K. Yano and S. Bochner, Curvature and Betti numbers, Ann. of Math. Studies 32, 1953.
13) K. Yano, The theory of Lie derivatives and its applications, Amsterdam, 1955.

Right : [1] S. Bochner, Vector fields and Ricci curvature, Bull. Amer. Math. Soc., 52 (1946), 776-797.
[2] S. Bochner, Tensor fields and Ricci curvature in Hermitian metric, Proc. Nat. Acad. Sci. U. S. A., 37 (1951), 704-706.
[3] A. Frölicher, Zur Differentialgeometrie der Komplexen Structuren, Math. Ann., 129 (1955), 50-95.
[4] T. Fukami and S. Ishihara, Almost-Hermitian structure on S⁶, Tôhoku Math. J., 7 (1955), 151-156.
[5] S. Koto, Some theorems on almost Kählerian spaces, J. Math. Soc. Japan, 12 (1960), 422-433.
[6] S. Sawaki and S. Koto, On the analytic tensor in a compact Kaehler space, J. Fac. Niigata Univ. Ser. I, 1 (1958), 77-84.
[7] S. Sawaki, On almost-analytic vectors in almost-Hermitian spaces, J. Fac. Niigata Univ. Ser. I, 3 (1960), 23-32.
[8] S. Sawaki, On almost-analytic tensors in O-spaces, Tôhoku Math. J., 13 (1961), 154-178.
[9] J. A. Schouten, Ricci calculus, Springer, 1954.
[10] S. Tachibana, On almost-analytic vectors in certain almost-Hermitian manifolds, Tôhoku Math J., 11 (1959), 351-363.
[11] S. Tachibana, Anlytic tensor and its generalization, Tôhoku Math. J., 12 (1960), 208-221.
[12] K. Yano and S. Bochner, Curvature and Betti numbers, Ann. of Math. Studies 32, 1953.
[13] K. Yano, The theory of Lie derivatives and its applications, Amsterdam, 1955.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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