科研之友
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摘要
Let (M (n) , g) be a compact Kahler manifold with nonpositive bisectional curvature. We show that a finite cover is biholomorphic and isometric to a flat torus bundle over a compact Kahler manifold N (k) with c (1) < 0. This confirms a conjecture of Yau. As a corollary, for any compact Kahler manifold with nonpositive bisectional curvature, the Kodaira dimension is equal to the maximal rank of the Ricci tensor. We also prove a global splitting result under the assumption of certain immersed complex submanifolds.
- 出版日期2014-10
