A CONVEX DECOMPOSITION THEOREM FOR FOUR-MANIFOLDS
A CONVEX DECOMPOSITION THEOREM FOR FOUR-MANIFOLDS
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四流形的凸分解定理
DOI：
10.1155/s1073792898000245
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发表时间：
2000
影响因子：
1
通讯作者：
R. Matveyev
中科院分区：
文献类型：
--
作者：
S. Akbulut;R. Matveyev
本文证明了每一光滑闭定向四维流形都可沿沿着公共边界分解为两个子流形。这些子流形中的每一个都是具有伪凸边界的复流形。这意味着，特别是，每一个光滑闭单连通四流形是一个Stein域在一定的可收缩2-复形的补。
In this article we show that every smooth closed oriented four- manifold admits a decomposition into two submanifolds along common bound- ary. Each of these submanifolds is a complex manifold with pseudo-convex boundary. This imply, in particular, that every smooth closed simply-connected four-manifold is a Stein domain in the the complement of a certain contractible 2-complex.