Normal homogeneous spaces admitting totally geodesic hypersurfaces

Koji TOJO

doi:10.2969/jmsj/04940781

Koji TOJO

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JOURNAL FREE ACCESS

1997 Volume 49 Issue 4 Pages 781-815

DOI https://doi.org/10.2969/jmsj/04940781

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Published: 1997 Received: August 01, 1994 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Berger, Les varéiétés Riemanniennes homogénes normales simplement connexes à courbure strictement positive, Ann. Scuola Norm. Sup. Pisa, 15 (1961), 179-246.
2) B. Y. Chen and T. Nagano, Totally geodesic submanifolds of symmetric spaces, II, Duke Math. J., 45 (1978), 405-425.
3) B. Y. Chen and L. Verstraelen, Hypersurfaces of symmetric spaces, Bull. Inst. Math. Acad. Sin., 8 (1980), 201-236.
4) S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, 1978.
5) S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, II, Interscience publishers, 1969.
6) N. Koiso, Hypersurfaces of Einstein manifolds, Ann. Sci. Éc. Norm. Sup., 14 (1981), 433-443.
7) K. Tojo, Totally geodesic submanifolds of naturally reductive spaces, Tsukuba J. Math. (to appear).
8) K. Tsukada, Totally geodesic hypersurfaces of naturally reductive homogeneous spaces, preprint.

Right : [1] M. Berger, Les varéiétés Riemanniennes homogénes normales simplement connexes à courbure strictement positive, Ann. Scuola Norm. Sup. Pisa, 15 (1961), 179-246.
[2] B. Y. Chen and T. Nagano, Totally geodesic submanifolds of symmetric spaces, II, Duke Math. J., 45 (1978), 405-425.
[3] B. Y. Chen and L. Verstraelen, Hypersurfaces of symmetric spaces, Bull. Inst. Math. Acad. Sin., 8 (1980), 201-236.
[4] S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, 1978.
[5] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, II, Interscience publishers, 1969.
[6] N. Koiso, Hypersurfaces of Einstein manifolds, Ann. Sci. Éc. Norm. Sup., 14 (1981), 433-443.
[7] K. Tojo, Totally geodesic submanifolds of naturally reductive spaces, Tsukuba J. Math. (to appear).
[8] K. Tsukada, Totally geodesic hypersurfaces of naturally reductive homogeneous spaces, preprint.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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