Transformations of pseudo-Riemannian manifolds

Shûkichi TANNO

doi:10.2969/jmsj/02120270

Shûkichi TANNO

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1969 Volume 21 Issue 2 Pages 270-281

DOI https://doi.org/10.2969/jmsj/02120270

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Published: 1969 Received: August 08, 1968 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) S. Ishihara, Groups of projective transformations and groups of conformal transformations, J. Math. Soc. Japan, 9 (1957), 195-227.
2) K. Nomizu, Sur les transformations affines d'une variété riemannienne, C. R. Acad. Sci. Paris, 237 (1953), 1308-1310.
3) M. Okumura, Some remarks on space with a certain contact structure, Tohoku Math. J., 14 (1962), 135-145.
4) S. Sasaki and Y. Hatakeyama, On differentiable manifolds with contact metric structures, J. Math. Soc. Japan, 14 (1962), 249-271.
5) T. Sumitomo, Projective and conformal transformations in compact Riemannian manifolds, Tensor (New series), 9 (1959), 113-135.
6) S. Tanno, Strongly curvature-preserving transformations of pseudo-Riemannian manifolds, Tohoku Math. J., 19 (1967), 245-250.
7) S. Tanno, Locally symmetric K-contact Riemannian manifolds, Proc. Japan Acad., 43 (1967), 581-583.
8) S. Tanno, The topology of contact Riemannian manifolds, Illinois J. Math., 12 (1968), 700-717.
9) J. A. Wolf, Spaces of constant curvature, McGraw-Hill, New York, 1967.
10) K. Yano and T. Nagano, Some theorems on projective and conformal transformations, Koninkl. Nederlandse Acad. Wet., Proc. Ser. A, 60 (1957), 451-458.

Right : [1] S. Ishihara, Groups of projective transformations and groups of conformal transformations, J. Math. Soc. Japan, 9 (1957), 195-227.
[2] K. Nomizu, Sur les transformations affines d'une variété riemannienne, C. R. Acad. Sci. Paris, 237 (1953), 1308-1310.
[3] M. Okumura, Some remarks on space with a certain contact structure, Tôhoku Math. J., 14 (1962), 135-145.
[4] S. Sasaki and Y. Hatakeyama, On differentiable manifolds with contact metric structures, J. Math. Soc. Japan, 14 (1962), 249-271.
[5] T. Sumitomo, Projective and conformal transformations in compact Riemannian manifolds, Tensor (New series), 9 (1959), 113-135.
[6] S. Tanno, Strongly curvature-preserving transformations of pseudo-Riemannian manifolds, Tôhoku Math. J., 19 (1967), 245-250.
[7] S. Tanno, Locally symmetric K-contact Riemannian manifolds, Proc. Japan Acad., 43 (1967), 581-583.
[8] S. Tanno, The topology of contact Riemannian manifolds, Illinois J. Math., 12 (1968), 700-717.
[9] J. A. Wolf, Spaces of constant curvature, McGraw-Hill, New York, 1967.
[10] K. Yano and T. Nagano, Some theorems on projective and conformal transformations, Koninkl. Nederlandse Acad. Wet., Proc. Ser. A, 60 (1957), 451-458.

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

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