论文标题
与各向同性曲率条件的RICCI流动的古老解决方案
Ancient solutions to the Ricci flow with isotropic curvature conditions
论文作者
论文摘要
我们表明，每$ n $ dimenional，$κ$ - noncollapsed，noncompact，complet of Coldect of Coment for Ricci Flow的均匀图片均匀图片，$ n = 4 $或$ n \ ge 12 $具有弱pic $ _2 $且有限的曲率。将其与较早的结果相结合，我们证明了任何此类溶液对于缩小的圆柱体（或其商）或布莱恩特·索利顿（Bryant Soliton）的均等。此外，我们将所有复杂的二维，$κ$ - 非汇总，完整的古老解决方案对KählerRicci流的完整解决方案进行了分类。
We show that every $n$-dimensional, $κ$-noncollapsed, noncompact, complete ancient solution to the Ricci flow with uniformly PIC for $n=4$ or $n\ge 12$ has weakly PIC$_2$ and bounded curvature. Combining this with earlier results, we prove that any such solution is isometric to either a family of shrinking cylinders (or a quotient thereof) or the Bryant soliton. Also, we classify all complex 2-dimensional, $κ$-noncollapsed, complete ancient solutions to the Kähler Ricci flow with weakly PIC.
