On the totally geodesic submanifolds in locally symmetric spaces

Hisao NAKAGAWA; Katsuhiro SHIOHAMA

doi:10.2969/jmsj/02230342

Hisao NAKAGAWA, Katsuhiro SHIOHAMA

著者情報

ジャーナルフリー

1970 年 22 巻 3 号 p. 342-352

DOI https://doi.org/10.2969/jmsj/02230342

詳細

Published: 1970 Received: 1969/09/24 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 : Hisao NAKAGAWA¹⁾, Katsuhiro SHIOHAMA¹⁾
Right : Hisao NAKAGAWA¹⁾²⁾, Katsuhiro SHIOHAMA¹⁾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) Tokyo University of Agriculture and Technology Tokyo Institute of Technology

訂正後 :
1) Tokyo University of Agriculture and Technology
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) J. Cheeger and D. Gromoll, The structure of complete manifolds of non-negative curvature, Bull. Amer. Math. Soc., 74 (1968), 1147-1150.
2) T. Frankel, Manifolds with positive curvature, Pacific J. Math., 11 (1961), 165-174.
3) T. Frankel, On the fundamental group of a compact minimal submanifold, Ann. of Math., 33 (1966), 68-73.
4) H. Omori, A class of riemannian metric on a manifold, J. Differential Geometry, 2 (1968), 233-252.
5) K. Shiohama, On complete non-compact riemannian manifolds with certain properties, to appear.
6) V. A. Toponogov, Riemannian space which contain straight lines, Amer. Math. Soc. Transl. Ser., 37 (1964), 287-290.
7) F. W. Warner, Extension of the Rauch comparison theorem to submanifolds, Trans. Amer. Math. Soc., 122 (1960), 341-356.

Right : [1] J. Cheeger and D. Gromoll, The structure of complete manifolds of non-negative curvature, Bull. Amer. Math. Soc., 74 (1968), 1147-1150.
[2] T. Frankel, Manifolds with positive curvature, Pacific J. Math., 11 (1961), 165-174.
[3] T. Frankel, On the fundamental group of a compact minimal submanifold, Ann. of Math., 33 (1966), 68-73.
[4] H. Omori, A class of riemannian metric on a manifold, J. Differential Geometry, 2 (1968), 233-252.
[5] K. Shiohama, On complete non-compact riemannian manifolds with certain properties, to appear.
[6] V. A. Toponogov, Riemannian space which contain straight lines, Amer. Math. Soc. Transl. Ser., 37 (1964), 287-290.
[7] F. W. Warner, Extension of the Rauch comparison theorem to submanifolds, Trans. Amer. Math. Soc., 122 (1960), 341-356.

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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