Classification of compact homogeneous spaces with invariant symplectic structures
Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 52-54
Cet article a éte moissonné depuis 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.
@article{10_1090_S1079_6762_97_00023_1,
author = {Guan, Daniel},
title = {Classification of compact homogeneous spaces with invariant symplectic structures},
journal = {Electronic research announcements of the American Mathematical Society},
pages = {52--54},
year = {1997},
volume = {03},
doi = {10.1090/S1079-6762-97-00023-1},
url = {http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00023-1/}
}
TY - JOUR AU - Guan, Daniel TI - Classification of compact homogeneous spaces with invariant symplectic structures JO - Electronic research announcements of the American Mathematical Society PY - 1997 SP - 52 EP - 54 VL - 03 UR - http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00023-1/ DO - 10.1090/S1079-6762-97-00023-1 ID - 10_1090_S1079_6762_97_00023_1 ER -
%0 Journal Article %A Guan, Daniel %T Classification of compact homogeneous spaces with invariant symplectic structures %J Electronic research announcements of the American Mathematical Society %D 1997 %P 52-54 %V 03 %U http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00023-1/ %R 10.1090/S1079-6762-97-00023-1 %F 10_1090_S1079_6762_97_00023_1
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
[1] , Über kompakte homogene Kählersche Mannigfaltigkeiten Math. Ann. 1961/62 429 439
[2] , Classification of compact homogeneous pseudo-Kähler manifolds Comment. Math. Helv. 1992 499 513
[3] Differential geometry of complex vector bundles 1987
[4] , Infinite number fields with Noether ideal theories Amer. J. Math. 1939 771 782
[5] Espaces homogènes complexes compacts Comment. Math. Helv. 1962/63 111 120
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