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In this note, we will show that no nonuniform lattice of SO (3, 1) can be the fundamental group of a quasi-compact Kähler manifold. Thus, combining with the result in [1], one gets that a nonuniform latice in SO(n, 1)(n≥ 3) cannot be π1 of any quasi-compact Kählerian manifold.
Abstract In this note, we will show that no nonuniform lattice of SO (3, 1) can be the fundamental group of a quasi-compact Khler manifold. Thus, combining with the result in [1], one gets that a nonuniform latice in SO(n, 1)(n 3) cannot be 1 of any quasi-compact Khlerian manifold.
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