Remarks on the signatures of invariant pseudo-Kähler metrics on generalized flag manifolds-Reference-Cited by-同舟云学术

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Remarks on the signatures of invariant pseudo-Kähler metrics on generalized flag manifolds

Published:2022-07-01 Issue:2 Volume:52 Page:
ISSN:0018-2079
Container-title:Hiroshima Mathematical Journal
language:
Short-container-title:Hiroshima Math. J.

Author:

Yamada Takumi¹

Affiliation:

1. Department of Mathematics Interdisciplinary Faculty of Science and Engineering Shimane University Nishikawatsu-cho 1060 Matsue 690-8504 Japan

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference9 articles.

1. [1] D. V. Alekseevsky, Flag manifolds, 11th Yugoslav Geometrical Seminar (Divčibare, 1996), Zb. Rad. Mat. Inst. Beograd. (N. S.) 6 (14) (1997), 3–35.

2. [2] A. Arvanitoyeorgos, I. Chrysikos and Y. Sakane, Homogeneous Einstein metrics on generalized flag manifolds $Sp\left( n \right)/\left( {U\left( p \right) \times U\left( q \right) \times Sp\left( {n - p - q} \right)} \right)$ , Recent progress in differential geometry and its related fields, 1–24, World Sci. Publ. Hackensack, NJ, 2012.

3. [3] D. V. Alekseevsky and A. M. Perelomov, Invariant Kähler-Einstein metrics on compact homogeneous space, Funct. Anal. Appl. 20 (1986), 1–16.

4. [4] A. Borel and R. Remmert, Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann. 145 (1961/1962) 429–439.

5. [5] N. Bourbaki, Éléments de mathématique, Groupes et algèbres de Lie, Masson, Paris, 1981.

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