论文标题
Bordism和射影的空间捆绑包
Bordism und projective space bundles
论文作者
论文摘要
我们证明，$ CP^2 $捆的总空间生成了定向的COBORDISM环$ω_*$。结合手术引理，这产生了Gromov和Lawson定理的一些不同的证明，所有证据都简单地连接了尺寸的非旋转歧管$ \ geq $ 5带有正标曲率的指标。
We prove that total spaces of $CP^2$-bundles generate the oriented cobordism ring $Ω_*$. Combined with the surgery lemma this yields a somewhat different proof of Gromov's and Lawson's theorem that all simply connected non-spin manifolds of dimension $\geq$ 5 carry a metric of positive scalar curvature.
