Liouville-type theorems and applications to geometry on complete Riemannian manifolds

Chanyoung Sung

On a complete Riemannian manifold M with Ricci curvature satisfying $$\text{Ric}(\nabla r,\nabla r)\ge -A{r}^2(\log r{)}^2(\log (\log r){)}^2...({\log }^{k}r{)}^2$$ for $r\gg 1$, where A>0…