论文标题
稳定性，有限和维度四
Stability, Finiteness and Dimension Four
论文作者
论文摘要
我们证明，对于任何$ k \ in \ mathbb {r}，$ $ v> 0，$ v> 0，$ d> 0 $，只有有限的许多diffemorthism类型的封闭的riemannian $ 4 $ - manifolds，带有截面曲率$ \ geq k，$ \ geq k，$ \ geq k，$ folumials $ volume $ \ geq v，$ \ eq v $ \ leq d. leq d $ \ leq d. leq d d $
We prove that for any $k\in \mathbb{R},$ $v>0,$ and $D>0$ there are only finitely many diffeomorphism types of closed Riemannian $4$-manifolds with sectional curvature $\geq k,$ volume $\geq v,$ and diameter $\leq D.$
