supported by National Natural Science Foundation of China(Grant Nos.12071386 and 11671330)。
In this paper,a class of holomorphic invariant metrics is introduced on the irreducible classical domains of typesⅠ-Ⅳ,which are strongly pseudoconvex complex Finsler metrics in the strict sense of Abate and Patrizio...
supported by National Natural Science Foundation of China(Grant No.12001532);supported by the Special Priority Program SPP 2026“Geometry at Infinity”from the German Research Foundation(DFG)。
In this paper,we show the relation between the existence of twisted conical K?hler-Ricci solitons and the greatest log Bakry-Emery-Ricci lower bound on Fano manifolds.This is based on our proofs of some openness theor...
supported by the National Natural Science Foundation of China(No.12061014).
Using Hodge theory and Banach fixed point theorem,Liu and Zhu developed a global method to deal with various problems in deformation theory.In this note,the authors generalize Liu-Zhu's method to treat two deformation...
supported by the National Key R&D Program of China(Grant No.2020YFA0713100);National Natural Science Foundation of China(Grant Nos.12141104,11801535,11721101and 11625106)。
The non-abelian Hodge correspondence was established by Corlette(1988),Donaldson(1987),Hit chin(1987)and Simpson(1988,1992).It states that on a compact Kahler manifold(X,ω),there is a one-to-one correspondence betwee...
Let∇be a linear connection on a 2n-dimensional almost anti-Hermitian manifold M equipped with an almost complex structure J,a pseudo-Riemannian metric g and the twin metric G=g◦J.In this paper,we first introduce three...
supported by National Natural Science Foundation of China(Grant No.11971423);the Fundamental Research Funds for the Central Universities;supported by National Natural Science Foundation of China(Grant No.11771019);Beijing Science Foundation(Grant No.Z180004);National Key R&D Program of China(Grant No.SQ2020YFA070059).
In this paper,we study the uniformly strong convergence of the Kahler-Ricci flow on a Fano manifold with varied initial metrics and smoothly deformed complex structures.As an application,we prove the uniqueness of Kah...