On principal normal vector fields of submanifolds in a Riemannian manifold of constant curvature

Tominosuke OTSUKI

doi:10.2969/jmsj/02210035

Tominosuke OTSUKI

著者情報

ジャーナルフリー

1970 年 22 巻 1 号 p. 35-46

DOI https://doi.org/10.2969/jmsj/02210035

詳細

Published: 1970 Received: 1969/03/27 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: 著者情報訂正内容: Wrong : Tominosuke OTSUKI¹⁾
Right : Tominosuke OTSUKI¹⁾²⁾

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) University of California, Berkeley Tokyo Institute fo Technology

訂正後 :
1) University of California
2) Tokyo Institute of Technology

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) S.S. Chern, M. DoCarmo and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of constant length, to appear.
2) R. Maltz, Isometric immersion into spaces of constant curvature, to appear.
3) B. O'Neill, Isometric immersions which preserve curvature operators, Proc. Amer. Math. Soc., 13 (1962), 759-763.
4) B. O'Neill, Isometric immersion of flat Riemannian manifolds in Euclidean space, Michigan Math. J., 9 (1962), 199-205.
5) B. O'Neill, Umbilic of constant curvature immersions, Duke Math. J., 32 (1965), 149-159.
6) B. O'Neill and E. Stiel, Isometric immersions of constant curvature manifolds, Michigan Math. J., 10 (1963), 335-339.
7) T. Otsuki, A theory of Riemmanian submanifolds, Kodai Math. Sem. Rep., 20 (1968), 282-295.
8) T. Otsuki, Pseudo-umbilical submanifolds with M-index_??_1 in Euclidean spaces, Kodai Math. Sem. Rep., 20 (1968), 296-304.
9) T. Otsuki, Minimal hypersurfaces in a Riemannian manifold of constant curvature, to appear.
10) E. Stiel, Isometric immersions of manifolds of nonnegative constant sectional curvature, Pacific J. Math., 15 (1965), 1415-1419.

Right : [1] S. S. Chern, M. DoCarmo and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of constant length, to appear.
[2] R. Maltz, Isometric immersion into spaces of constant curvature, to appear.
[3] B. O'Neill, Isometric immersions which preserve curvature operators, Proc. Amer. Math. Soc., 13 (1962), 759-763.
[4] B. O'Neill, Isometric immersion of flat Riemannian manifolds in Euclidean space, Michigan Math. J., 9 (1962), 199-205.
[5] B. O'Neill, Umbilic of constant curvature immersions, Duke Math. J., 32 (1965), 149-159.
[6] B. O'Neill and E. Stiel, Isometric immersions of constant curvature manifolds, Michigan Math. J., 10 (1963), 335-339.
[7] T. Otsuki, A theory of Riemmanian submanifolds, Kodai Math. Sem. Rep., 20 (1968), 282-295.
[8] T. Otsuki, Pseudo-umbilical submanifolds with M-index≤1 in Euclidean spaces, Kodai Math. Sem. Rep., 20 (1968), 296-304.
[9] T. Otsuki, Minimal hypersurfaces in a Riemannian manifold of constant curvature, to appear.
[10] E. Stiel, Isometric immersions of manifolds of nonnegative constant sectional curvature, Pacific J. Math., 15 (1965), 1415-1419.

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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