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

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.

8 pages/replace the former one