A new convergence theorem for mean curvature flow of hypersurfaces in quaternionic projective spaces

We investigate the smooth convergence of the mean curvature flow of hypersurfaces in the quaternionic projective spaces.We prove that if the initial hypersurface satisfies a new nonlinear curvature pinching condition, then the mean curvature flow converges smoothly to a round point in finite time.Our result improves a smooth convergence theorem due to Pipoli and Sinestrari (2017).