訂正日: 2006/10/20訂正理由: -訂正箇所: 論文タイトル訂正内容: Wrong : Non existence of irreducible birecurrent Riemannian manifold of dimension _??_3 Right : Non existence of irreducible birecurrent Riemannian manifold of dimension ≥3
訂正日: 2006/10/20訂正理由: -訂正箇所: 引用文献情報訂正内容: 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.