Normal homogeneous spaces admitting totally geodesic hypersurfaces

Koji TOJO

doi:10.2969/jmsj/04940781

Koji TOJO

著者情報

ジャーナルフリー

1997 年 49 巻 4 号 p. 781-815

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

詳細

Published: 1997 Received: 1994/08/01 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: 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.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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