13 citations · 66 across the 43 of their papers we have counts for
5 papers · 2 filters
Compact Kähler manifolds with nonpositive bisectional curvature
Gang Liu
Let be a compact Kähler manifold with nonpositive bisectional curvature. We show that a finite cover is biholomorphic and isometric to a flat torus bundle over a compact…
Kahler manifolds with Ricci curvature lower bound
Gang Liu
On Kahler manifolds with Ricci curvature bounded from below, we establish some theorems which are counterparts of some classical theorems in Riemannian geometry, for example, Bisho…
Local volume comparison for Kahler manifolds
Gang Liu
On Kahler manifolds with Ricci curvature lower bound, assuming the real analyticity of the metric, we establish a sharp relative volume comparison theorem for small balls. The mode…
3-manifolds with nonnegative Ricci curvature
Gang Liu
For a noncompact 3-manifold with nonnegative Ricci curvature, we prove that either it is diffeomorphic to or the universal cover splits. As a corollary, it confirms…
A short proof to the rigidity of volume entropy
Gang Liu
In this note we give a short proof to the rigidity of volume entropy. The result says that for a closed manifold with Ricci curvature bounded from below, if the universal cover has…