Ricci curvature and holomorphic convexity in Kähler manifolds

Strictly Kähler-Berwald manifolds with constant‎ ‎holomorphic sectional curvature

In this paper‎, ‎the‎ ‎authors prove that a strictly Kähler-Berwald manifold with‎ ‎nonzero constant holomorphic sectional curvature must be a‎ Kähler manifold‎. 

strictly kähler-berwald manifolds with constant‎ ‎holomorphic sectional curvature

in this paper‎, ‎the‎ ‎authors prove that a strictly kähler-berwald manifold with‎ ‎nonzero constant holomorphic sectional curvature must be a‎ kähler manifold‎.

Boundary Convexity on Manifolds with Nonnegative Ricci Curvature

We introduce a new geometric invariant Λ to measure the convexity of the boundary of a riemannian manifold with nonnegative Ricci curvature in the interior. Based on a theorem of Perelman, we are able to show that this new invariant has topological implications. More specifically, we show that if Λ is close to 1 and the sectional curvature is positive on the boundary, then the manifold is contr...

The Kähler - Ricci flow on Kähler manifolds with 2 traceless bisectional curvature operator

0 Ricci flow on Kähler manifolds