Homogeneous Riemannian manifolds with a fixed isotropy representation

Eduardo H. CATTANI; L. N. MANN

doi:10.2969/jmsj/03130535

Eduardo H. CATTANI, L. N. MANN

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ジャーナルフリー

1979 年 31 巻 3 号 p. 535-552

DOI https://doi.org/10.2969/jmsj/03130535

詳細

Published: 1979 Received: 1977/12/15 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) Robert Azencott and Edward N. Wilson, Homogeneous manifolds with negative curvature, I, Trans, Amer. Math. Soc., 215 (1976), 323-362.
2) Robert Azencott and Edward N. Wilson, Homogeneous manifolds with negative curvature, II, Mem, Amer. Math. Soc., 8, no. 178 (1976).
3) E. Cartan, Leçons sur la Géométrie des Espaces de Riemann, Gauthier-Villars, Paris, 1963.
4) Ernst Heintze, On homogeneous manifolds of negative curvature, Math. Ann., 211 (1974), 23-34.
5) Wu-chung Hsiang and Wu-yi Hsiang, Differentiable actions of compact connected classical groups I, Amer. J. Math., 89 (1967), 705-786.
6) S. Kobayashi, Transformation Groups in Differential Geometry, Springer-Verlag, 1972.
7) S. Kobayashi and T. Nagano, Riemannian manifolds with abundant isometries, Differential Geometry in Honor of K. Yano, Kinokuniya, Tokyo, 1972, 195-220.
8) Minoru Kurita, On the isometry of a homogeneous Riemann Space, Tensor, 3 (1954), 91-100.
9) Gordon W. Lukesh, Compact homogeneous Riemannian manifolds, Geometriae Dedicata, 7 (1978), 131-137.
10) J. Milnor, Curvatures of left invariant metrics on Lie groups, Advances in Math., 21 (1976), 293-329.
11) H. Wakakuwa, On n-dimensional Riemannian spaces admitting some groups of motions of order less than 1/2n(n-1), Tohoku Math. J., 6 (1954), 121-134.

Right : [1] Robert Azencott and Edward N. Wilson, Homogeneous manifolds with negative curvature, I, Trans, Amer. Math. Soc., 215 (1976), 323-362.
[2] Robert Azencott and Edward N. Wilson, Homogeneous manifolds with negative curvature, II, Mem, Amer. Math. Soc., 8, no. 178 (1976).
[3] E. Cartan, Leçons sur la Géométrie des Espaces de Riemann, Gauthier-Villars, Paris, 1963.
[4] Ernst Heintze, On homogeneous manifolds of negative curvature, Math. Ann., 211 (1974), 23-34.
[5] Wu-chung Hsiang and Wu-yi Hsiang, Differentiable actions of compact connected classical groups I, Amer. J. Math., 89 (1967), 705-786.
[6] S. Kobayashi, Transformation Groups in Differential Geometry, Springer-Verlag, 1972.
[7] S. Kobayashi and T. Nagano, Riemannian manifolds with abundant isometries, Differential Geometry in Honor of K. Yano, Kinokuniya, Tokyo, 1972, 195-220.
[8] Minoru Kurita, On the isometry of a homogeneous Riemann Space, Tensor, 3 (1954), 91-100.
[9] Gordon W. Lukesh, Compact homogeneous Riemannian manifolds, Geometriae Dedicata, 7 (1978), 131-137.
[10] J. Milnor, Curvatures of left invariant metrics on Lie groups, Advances in Math., 21 (1976), 293-329.
[11] H. Wakakuwa, On n-dimensional Riemannian spaces admitting some groups of motions of order less than 1/2n(n-1), Tôhoku Math. J., 6 (1954), 121-134.

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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