Geodesic
On the decomposition of Kähler manifolds with trivial canonical class
Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 580-583 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper it is proved that simply-connected Kähler manifolds with $K=0$ may be decomposed into a product $M^n=A^s\times K^{m_1}_3\times\cdots\times K^{m_k}_3$, where $h^{2,0}(A^s)=0$, $h^{2,0}(K^{m_i}_3)=1$ and the form $\omega_i(2,0)$ has maximal rank. Also the manifolds with $l(K)>1$, of unirational type $K=0$, are described. They may be presented as $L^k/G$, where $K(L^k)=0$ and $G$ is a finite group of birational automorphisms of $L^k$. Bibliography: 5 titles. 
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     author = {F. A. Bogomolov},
     title = {On the decomposition of {K\"ahler} manifolds with trivial canonical class},
     journal = {Sbornik. Mathematics},
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     year = {1974},
     volume = {22},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1974_22_4_a6/}
}
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F. A. Bogomolov. On the decomposition of Kähler manifolds with trivial canonical class. Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 580-583. http://geodesic.mathdoc.fr/item/SM_1974_22_4_a6/

[1] A. Lichnerowicz, “Varietes kähleriennes a premiere classe de Chern non negative”, Symposia Math., X, London, 1972, 3–18 | MR

[2] Y. Matsushima, “Recent results on nolomorphic vector fields”, J. Diff. Geom., 3 (1969), 477–480 | MR | Zbl

[3] K. Ueno, Classification of algebraic manifolds, I, preprint | MR | Zbl

[4] S. Iitaka, “On $D$ dimension of algebraic varietes”, J. Math. Soc. Japan, 23 (1971), 356–373 | MR | Zbl

[5] F. A. Bogomolov, “Kelerovy mnogoobraziya s trivialnym kanonicheskim klassom”, Izv. AN SSSR, seriya matem., 38 (1974), 11–21 | MR | Zbl