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

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

2005-05-10

arxiv.org/abs/math/0505181v2

Mathematics

Differential Geometry

8 pages/replace the former one

Scientific paper

Let M be an n-dimensional K\"ahler 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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