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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JOURNAL FREE ACCESS

1979 Volume 31 Issue 3 Pages 535-552

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

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Published: 1979 Received: December 15, 1977 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) 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.

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

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