Geodesic
Classification of compact homogeneous spaces with invariant symplectic structures
Guan, Daniel1
1Department of Mathematics, Princeton University, Princeton, NJ 08544
Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 52-54

Voir la notice de l'article provenant de la source American Mathematical Society

We solve a longstanding problem of classification of compact homogeneous spaces with invariant symplectic structures. We also give a splitting conjecture on compact homogeneous spaces with symplectic structures (which are not necessarily invariant under the group action) that makes the classification of this kind of manifolds possible.
DOI : 10.1090/S1079-6762-97-00023-1

Guan, Daniel  1

1 Department of Mathematics, Princeton University, Princeton, NJ 08544 
Guan, Daniel. Classification of compact homogeneous spaces with invariant symplectic structures. Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 52-54. doi: 10.1090/S1079-6762-97-00023-1
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[1] Borel, A., Remmert, R. Über kompakte homogene Kählersche Mannigfaltigkeiten Math. Ann. 1961/62 429 439

[2] Dorfmeister, Josef, Guan, Zhuang Dan Classification of compact homogeneous pseudo-Kähler manifolds Comment. Math. Helv. 1992 499 513

[3] Kobayashi, Shoshichi Differential geometry of complex vector bundles 1987

[4] Maclane, Saunders, Schilling, O. F. G. Infinite number fields with Noether ideal theories Amer. J. Math. 1939 771 782

[5] Tits, J. Espaces homogènes complexes compacts Comment. Math. Helv. 1962/63 111 120

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