Refined Kato type inequalities and new vanishing theorems on complete Kähler and quaternionic Kähler manifolds

Dinh Tien Dat, Nguyen Thac Dung, Yong Luo

Given a complete Riemannian manifold satisfying a weighted Poincaré inequality and having a bounded below Ricci curvature, various vanishing theorems for harmonic functions and har…