The main aims of this paper are to study the persistence of homoclinic and heteroclinic orbits of the reduced systems on normally hyperbolic critical manifolds,
There is a long existing 'unicorn' problem in Finsler geometry: whether or not any Landsberg metric is a Berwald metric? Some classes of metrics were st
In this paper, we consider the complex Monge-Ampère equation posed on a compact Kahler manifold. We show how to get L~p(p < ∞) and L^∞ estimates for the