Xiaokui Yang

collaborators

2 papers

math.DG2025

WeitzenbÃ¶ck-Bochner-Kodaira formulas with quadratic curvature terms

Mingwei Wang, Xiaokui Yang

In this paper we establish new Bochner-Kodaira formulas with quadratic curvature terms on compact KÃ¤hler manifolds: for any $I^\cdot \in I^c ◯^{p, q} (M)$ , $$ \left\langleÎ_{\overline \part…

math.DG2025

First eigenvalue estimates on complete KÃ¤hler manifolds

Mingwei Wang, Xiaokui Yang

Let $(M, I ¨ _{g})$ be a complete KÃ¤hler manifold of complex dimension $n$ . We prove that if the holomorphic sectional curvature satisfies $HSC \geq 2$ , then the first eige…