Published: 1975 Received: November 21, 1974Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: SUBTITLEDetails: Wrong : Dedicated to Professor S. Kashiwabara on his 60th birthday
Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Wrong : 1) W. Ambrose, A theorem of Myers, Duke Math. J., 24 (1957), 345-348. 2) A. Avez, Riemannian manifolds with non-negative Ricci curvature, Duke Math. J., 39 (1972), 55-64. 3) E. Calabi, On Ricci curvature and geodesics, Duke Math. J., 34 (1967), 667-676. An extension of a theorem of Myers 569 4) J. Cheeger and D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann, of Math., 96 (1972), 413-443. 5) M. Maeda, On the injectivity radius of noncompact Riemannian manifolds, Proc. Japan Acad., 50 (1974), 148-151. 6) S. B. Myers, Riemannian manifolds in the large, Duke Math. J., 1 (1935), 39-49. 7) K. Shiohama, The diameter of δ-pinched manifolds, J. Differential Geometry, 5 (1971), 61-71. 8) H. Wu, A structure theorem for complete noncompact hypersurfaces of nonnegative curvature, Bull. Amer. Math. Soc., 77 (1971), 1070-1071. 9) S. T. Yau, Non-existence of continuous convex functions on certain Riemannian manifolds, Math. Ann., 207 (1974), 269-270.
Right : [1] W. Ambrose, A theorem of Myers, Duke Math. J., 24 (1957), 345-348. [2] A. Avez, Riemannian manifolds with non-negative Ricci curvature, Duke Math. J., 39 (1972), 55-64. [3] E. Calabi, On Ricci curvature and geodesics, Duke Math. J., 34 (1967), 667-676. [4] J. Cheeger and D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math., 96 (1972), 413-443. [5] M. Maeda, On the injectivity radius of noncompact Riemannian manifolds, Proc. Japan Acad., 50 (1974), 148-151. [6] S. B. Myers, Riemannian manifolds in the large, Duke Math. J., 1 (1935), 39-49. [7] K. Shiohama, The diameter of δ-pinched manifolds, J. Differential Geometry, 5 (1971), 61-71. [8] H. Wu, A structure theorem for complete noncompact hypersurfaces of nonnegative curvature, Bull. Amer. Math. Soc., 77 (1971), 1070-1071. [9] S. T. Yau, Non-existence of continuous convex functions on certain Riemannian manifolds, Math. Ann., 207 (1974), 269-270.
Date of correction: October 20, 2006Reason for correction: -Correction: PDF FILEDetails: -