Geodesic
A Decomposition Theorem for Complex Nilmanifolds
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 377-378

Voir la notice de l'article provenant de la source Cambridge University Press

A complex nilmanifold X is isomorphic to a product X ⋍ Cp x N/┌, where N is a simply connected nilpotent complex Lie group and ┌ is a discrete subgroup of N not contained in a proper connected complex subgroup of N. The pair (N, ┌) is uniquely determined up to holomorphic group isomorphisms.
DOI : 10.4153/CMB-1987-055-2
Mots-clés : 32M10, 32M05, Complex nilmanifold 
Loeb, Jean-Jacques; Oeljeklaus, Karl; Richthofer, Wolfgang. A Decomposition Theorem for Complex Nilmanifolds. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 377-378. doi: 10.4153/CMB-1987-055-2
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[1] 1. Ahiezer, D.N., Math. Reviews 81 a: 32025. Google Scholar

[2] 2. Gilligan, B. and Huckleberry, A.T., On non-compact complex nilmanifolds. Math. Ann. 238 (1978), pp. 39–49. Google Scholar

[3] 3. Huckleberry, A.T. and Schumacher, G., Holomorphic maps of generalized I wasawa manifolds. Manu scripta Math. 30 (1979/80), pp. 107–117. Google Scholar

[4] 4. Matsushima, Y., On discrete subgroups and homogeneous spaces of nilpotent Lie groups. Nag. Math. J. 2(1951), pp. 95–110. Google Scholar

[5] 5. Ragunathan, M.S., Discrete subgroups of Lie groups. Erg. Math. Grenzgeb. 1972, Bd. 68, Springer. Google Scholar

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