Compact two-transnormal hypersurfaces in a space of constant curvature

Seiki NISHIKAWA

doi:10.2969/jmsj/02640625

Seiki NISHIKAWA

著者情報

ジャーナルフリー

1974 年 26 巻 4 号 p. 625-635

DOI https://doi.org/10.2969/jmsj/02640625

詳細

Published: 1974 Received: 1973/03/12 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
1) Department of Mathematics Faculty of Science Tohoku University

訂正後 :
1) Department of Mathematics Faculty of Science Tôhoku University

訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) R. Bishop and R. Crittenden, Geometry of manifolds, Academic Press, New York, 1964.
2) M. P. do Carmo and F.W. Warner, Rigidity and convexity of hypersurfaces in spheres, J. Differential Geometry, 4 (1970), 133-144.
3) S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. II, Interscience, New York, 1969.
4) J. Milnor, Morse theory, Ann. of Math. Studies, No. 51, Princeton University Press, 1963.
5) S. Nishikawa, Transnormal hypersurfaces-Generalized constant width for Riemannian manifolds-, Tohoku Math. J., 25 (1973), 451-459.
6) I. M. Yaglom and V. G. Boltyanskii, Convex figures, translation by P.J. Kelly and L.F. Walton, Holt, Rinehart and Winston, New York, 1961.

Right : [1] R. Bishop and R. Crittenden, Geometry of manifolds, Academic Press, New York, 1964.
[2] M. P. do Carmo and F. W. Warner, Rigidity and convexity of hypersurfaces in spheres, J. Differential Geometry, 4 (1970), 133-144.
[3] S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. II, Interscience, New York, 1969.
[4] J. Milnor, Morse theory, Ann. of Math. Studies, No. 51, Princeton University Press, 1963.
[5] S. Nishikawa, Transnormal hypersurfaces-Generalized constant width for Riemannian manifolds-, Tôhoku Math. J., 25 (1973), 451-459.
[6] I. M. Yaglom and V. G. Boltyanskii, Convex figures, translation by P. J. Kelly and L. F. Walton, Holt, Rinehart and Winston, New York, 1961.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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