Symmetric spaces with invariant locally Hessian structures

Hirohiko SHIMA

doi:10.2969/jmsj/02930581

Hirohiko SHIMA

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JOURNAL FREE ACCESS

1977 Volume 29 Issue 3 Pages 581-589

DOI https://doi.org/10.2969/jmsj/02930581

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Published: 1977 Received: July 16, 1976 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) N. Bourbaki, Éléments de Mathématique, Groupes et Algèbres de Lie, Chapitre I, Hermann, Paris, 1960.
2) S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, II, Interscience Publishers, New York, 1969.
3) M. Koecher, Jordan algebras and their applications, Lecture notes Univ. of Minnesota, Minneapolis, 1962.
4) J. L. Koszul, Domaines bornés homogènes et orbites de groupes de transformations affines, Bull. Soc. Math. France, 89 (1961), 515-533.
5) H. Shima, On locally smmmetric homogeneous domains of completely reducible linear Lie groups, Math. Ann., 217 (1975), 94-95.
6) H. Shima, On certain locally flat homogeneous manifolds of solvable Lie groups, Osaka J. Math., 13 (1976), 213-229.
7) E. B. Vinberg, Homogeneous cones, Dokl. Akad. Nauk SSSR, 133 (1960), 9-12; English transl., Soviet Math. Dokl., 1 (1960), 787-790.

Right : [1] N. Bourbaki, Éléments de Mathématique, Groupes et Algèbres de Lie, Chapitre I, Hermann, Paris, 1960.
[2] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, II, Interscience Publishers, New York, 1969.
[3] M. Koecher, Jordan algebras and their applications, Lecture notes Univ. of Minnesota, Minneapolis, 1962.
[4] J. L. Koszul, Domaines bornés homogènes et orbites de groupes de transformations affines, Bull. Soc. Math. France, 89 (1961), 515-533.
[5] H. Shima, On locally smmmetric homogeneous domains of completely reducible linear Lie groups, Math. Ann., 217 (1975), 94-95.
[6] H. Shima, On certain locally flat homogeneous manifolds of solvable Lie groups, Osaka J. Math., 13 (1976), 213-229.
[7] E. B. Vinberg, Homogeneous cones, Dokl. Akad. Nauk SSSR, 133 (1960), 9-12; English transl., Soviet Math. Dokl., 1 (1960), 787-790.

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

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