Convergence of manifolds under some $L^p$-integral curvature conditions

Conghan Dong

Let $\mathcal{C}(\mathcal{R},n,p,\Lambda ,D,V_0)$ be the class of compact $n$-dimensional Riemannian manifolds with finite diameter $\le D$, non-collapsing volume $\ge V_0$ and $L^p$-bo…