Non existence of irreducible birecurrent Riemannian manifold of dimension ≥3

Hidekiyo WAKAKUWA

doi:10.2969/jmsj/03310023

Hidekiyo WAKAKUWA

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JOURNAL FREE ACCESS

1981 Volume 33 Issue 1 Pages 23-29

DOI https://doi.org/10.2969/jmsj/03310023

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Published: 1981 Received: October 20, 1978 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : Non existence of irreducible birecurrent Riemannian manifold of dimension _??_3
Right : Non existence of irreducible birecurrent Riemannian manifold of dimension ≥3

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Lichnerowicz, Courbure, nombres de Betti et espaces symétriques, Proc. Intern. Congr. Math. Cambridge, Mass., 1950, Vol. 2, 216-223.
2) W. Roter, Some remarks on second order recurrent spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 12 (1964), 661-670.
3) S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Interscience, New York, Vol. 1, 1963.
4) K. Nomizu and H. Ozeki, A theorem on curvature tensor fields, Proc. Nat. Acad. Sci. U.S.A., 48 (1962), 206-207.

Right : [1] A. Lichnerowicz, Courbure, nombres de Betti et espaces symétriques, Proc. Intern. Congr. Math. Cambridge, Mass., 1950, Vol. 2, 216-223.
[2] W. Roter, Some remarks on second order recurrent spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 12 (1964), 661-670.
[3] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Interscience, New York, Vol. 1, 1963.
[4] K. Nomizu and H. Ozeki, A theorem on curvature tensor fields, Proc. Nat. Acad. Sci. U. S. A., 48 (1962), 206-207.

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