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Symplectic homogeneous spaces. (English) Zbl 0261.53039


MSC:

53C30 Differential geometry of homogeneous manifolds
57T15 Homology and cohomology of homogeneous spaces of Lie groups
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
22E25 Nilpotent and solvable Lie groups
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[1] Claude Chevalley, Theory of Lie groups. I, Princeton University Press, Princeton, N. J., 1946 1957. · Zbl 0063.00842
[2] -, Théorie des groupes de Lie. II. Groupes algèbres. Actualités Sci. Indust., no. 1152, Hermann, Paris, 1951. MR 14, 448.
[3] Claude Chevalley and Samuel Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63 (1948), 85 – 124. · Zbl 0031.24803
[4] Jun-ichi Hano, On Kaehlerian homogeneous spaces of unimodular Lie groups, Amer. J. Math. 79 (1957), 885 – 900. · Zbl 0096.16203 · doi:10.2307/2372440
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[8] Yozo Matsushima, Differential geometry, Dekker, New York, 1972.
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[10] L. S. Pontryagin, Topological groups, Translated from the second Russian edition by Arlen Brown, Gordon and Breach Science Publishers, Inc., New York-London-Paris, 1966. · Zbl 0022.17104
[11] Shlomo Sternberg, Lectures on differential geometry, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. · Zbl 0129.13102
[12] J.-M. Souriau, Structure des systèmes dynamiques, Maîtrises de mathématiques, Dunod, Paris, 1970 (French). · Zbl 0186.58001
[13] È. B. Vinberg, The theory of homogeneous convex cones, Trudy Moskov. Mat. Obšč. 12 (1963), 303 – 358 (Russian). · Zbl 0138.43301
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