论文标题
承认双磁盘 - 束分解的歧管
Manifolds that admit a double disk-bundle decomposition
论文作者
论文摘要
在轻度的拓扑限制下，本文确定，最多可以分解为七个磁盘束的联合必须是理性的椭圆形的平滑，封闭，简单地连接的尺寸的歧管。在维度五的情况下，这样的歧管分类为差异性，而当第二个贝蒂号消失或第三个贝蒂数字是非平凡时，在第六维度中也是如此。
Under mild topological restrictions, this article establishes that a smooth, closed, simply connected manifold of dimension at most seven which can be decomposed as the union of two disk bundles must be rationally elliptic. In dimension five, such manifolds are classified up to diffeomorphism, while the same is true in dimension six when either the second Betti number vanishes or the third Betti number is non-trivial.
