3 problems

Let $M$ be a complete Kähler manifold with nonnegative bisectional curvature that admits a nonconstant holomorphic function of polynomial growth, and suppose its bisectional curvat…

Let $M$ be a complete noncompact $n$-dimensional Kähler manifold with nonnegative holomorphic bisectional curvature. Let $\mathcal{O}_{d}(M^{n})$ denote the family of holomorphic f…

Generalized Frankel conjecture. Any compact simply-connected Kähler manifold with $B\geq 0$ everywhere must be biholomorphic to a compact Hermitian symmetric space.