In this paper,we first prove the openness theorems on convergence of the twisted Kähler-Ricci flows.Then as applications,we improve Perelman's estimates along the twisted Kähler-Ricci flows and give crit...In this paper,we first prove the openness theorems on convergence of the twisted Kähler-Ricci flows.Then as applications,we improve Perelman's estimates along the twisted Kähler-Ricci flows and give criteria for the convergence of twisted Kähler-Ricci flows in relation to the greatest twisted Ricci lower bound,which gives a geometric interpretation of the greatest twisted Ricci lower bound from the viewpoint of geometric flows.展开更多
基金supported by the National Key R&D Program of China(Grant No.2020YFA0713100)National Natural Science Foundation of China(Grant Nos.12141104 and 12431004)+3 种基金supported by National Natural Science Foundation of China(Grant Nos.12371059 and 12431004)Jiangsu Specially-Appointed Professor ProgramFundamental Research Funds for the Central UniversitiesSpecial Priority Program SPP 2026“Geometry at Infinity”from the German Research Foundation(DFG)。
文摘In this paper,we first prove the openness theorems on convergence of the twisted Kähler-Ricci flows.Then as applications,we improve Perelman's estimates along the twisted Kähler-Ricci flows and give criteria for the convergence of twisted Kähler-Ricci flows in relation to the greatest twisted Ricci lower bound,which gives a geometric interpretation of the greatest twisted Ricci lower bound from the viewpoint of geometric flows.
