Homogeneous Kähler manifolds of non-degenerate Ricci curvature

Kazufumi NAKAJIMA

doi:10.2969/jmsj/04230475

Kazufumi NAKAJIMA

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JOURNAL FREE ACCESS

1990 Volume 42 Issue 3 Pages 475-494

DOI https://doi.org/10.2969/jmsj/04230475

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Published: 1990 Received: July 11, 1988 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: SUBTITLE Details: Wrong : Dedicated to Professor N. Tanaka on his 60th birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Borel, Kählerian coset space of semi-simple Lie groups, Proc. Nat. Acad. Sci. U.S.A., 40 (1954), 1147-1151.
2) J. Dorfmeister, Simply transitive group and Kähler structures on homogeneous Siegel domains, Trans. Amer. Math. Soc., 288 (1985), 293-305.
3) J. Dorfmeister and K. Nakajima, The fundamental conjecture for homogeneous Kähler manifolds, Acta. Math., 161 (1988), 23-70.
4) J. J. Koszul, Sur la forme hermitienne canonique des espaces homogènes complexes, Canad. J. Math., 7 (1955), 562-576.
5) Y. Matsushima, Sur les éspaces homogènes Kähleriens d'un groupe de Lie reductif, Nagoya Math. J., 11 (1957), 53-60.
6) K. Nakajima, On j-algebras and homogeneous Kähler manifolds, Hokkaido Math. J., 15 (1986), 1-20.
7) K. Nakajima, Homogeneous Kähler manifolds of non-positive Ricci curvature, J. Math. Kyoto Univ., 26 (1986), 547-558.
8) E. B. Vinberg and S. G. Gindikin, Kaehlerian manifolds admitting a transitive solvable automorphism group, Mat. Sb., 74 (116) (1967), 333-351.
9) E. B. Vinberg, S. G. Gindikin and I. I. Pyatetskii-Shapiro, Classification and canonical realization of complex homogeneous domains, Trans. Moscow Math. Soc., 12 (1963), 404-437.

Right : [1] A. Borel, Kählerian coset space of semi-simple Lie groups, Proc. Nat. Acad. Sci. U. S. A., 40 (1954), 1147-1151.
[2] J. Dorfmeister, Simply transitive group and Kähler structures on homogeneous Siegel domains, Trans. Amer. Math. Soc., 288 (1985), 293-305.
[3] J. Dorfmeister and K. Nakajima, The fundamental conjecture for homogeneous Kähler manifolds, Acta. Math., 161 (1988), 23-70.
[4] J. J. Koszul, Sur la forme hermitienne canonique des espaces homogènes complexes, Canad. J. Math., 7 (1955), 562-576.
[5] Y. Matsushima, Sur les éspaces homogènes Kähleriens d'un groupe de Lie reductif, Nagoya Math. J., 11 (1957), 53-60.
[6] K. Nakajima, On j-algebras and homogeneous Kähler manifolds, Hokkaido Math. J., 15 (1986), 1-20.
[7] K. Nakajima, Homogeneous Kähler manifolds of non-positive Ricci curvature, J. Math. Kyoto Univ., 26 (1986), 547-558.
[8] E. B. Vinberg and S. G. Gindikin, Kaehlerian manifolds admitting a transitive solvable automorphism group, Mat. Sb., 74 (116) (1967), 333-351.
[9] E. B. Vinberg, S. G. Gindikin and I. I. Pyatetskii-Shapiro, Classification and canonical realization of complex homogeneous domains, Trans. Moscow Math. Soc., 12 (1963), 404-437.

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