3 citations · 3 across the 4 of their papers we have counts for
4 papers · 1 filter
Quasi-positive curvature and projectivity
Yiyang Du, Yanyan Niu
In this paper, we first prove that a compact Kähler manifold is projective if it satisfies certain quasi-positive curvature conditions, including quasi-positive $S_2^\perp,\, S_2^+…
Total squared mean curvature of immersed submanifolds in a negatively curved space
Yanyan Niu, Shicheng Xu
Let and be two integers. Let be an isometrically immersed closed -submanifold of co-dimension that is homotopic to a point in a complete manifold ,…
Gap theorem on Kähler manifold with nonnegative orthogonal bisectional curvature
Lei Ni, Yanyan Niu
In this paper we prove a gap theorem for Kähler manifolds with nonnegative orthogonal bisectional curvature and nonnegative Ricci curvature, which generalizes an earlier result of…
Sharp differential estimates of Li-Yau-Hamilton type for positive -forms on Kähler manifolds
Lei Ni, Yanyan Niu
In this paper we study the heat equation (of Hodge-Laplacian) deformation of -forms on a Kähler manifold. After identifying the condition and establishing that the positivi…