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Kaehler manifolds with numerically effective Ricci class and maximal first Betti number are tori

Fuquan Fang
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Abstract

Let M be an n-dimensional Kähler manifold with numerically effective Ricci class. In this note we prove that, if the first Betti number b_1(M)=2n, then M is biholomorphic to the complex torus T^n_C.

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Fuquan Fang. 2005-05-11. Kaehler manifolds with numerically effective Ricci class and maximal first Betti number are tori. https://arxiv.org/abs/math/0505181

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