Zehao Sha

Rigidity of complete Kähler–Einstein metrics under cscK perturbations

In this paper, we study constant scalar curvature Kähler (cscK) metrics on complete non-compact Kähler–Einstein manifolds. We give sufficient conditions under which a cscK perturbation of a Kähler–Einstein metric must remain Kähler–Einstein. As a model case, we prove that the Ber...