On the totally geodesic submanifolds in locally symmetric spaces

Hisao NAKAGAWA; Katsuhiro SHIOHAMA

doi:10.2969/jmsj/02230342

Hisao NAKAGAWA, Katsuhiro SHIOHAMA

Author information

JOURNAL FREE ACCESS

1970 Volume 22 Issue 3 Pages 342-352

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

Details

Published: 1970 Received: September 24, 1969 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: September 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Hisao NAKAGAWA¹⁾, Katsuhiro SHIOHAMA¹⁾
Right : Hisao NAKAGAWA¹⁾²⁾, Katsuhiro SHIOHAMA¹⁾²⁾

Date of correction: September 29, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Tokyo University of Agriculture and Technology Tokyo Institute of Technology

Right :
1) Tokyo University of Agriculture and Technology
2) Tokyo Institute of Technology

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: 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.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!