Boundary Points,Minimal L^(2)Integrals and Concavity PropertyⅢ—Linearity on Riemann Surfaces and Fibrations over Open Riemann Surfaces  

作　　者：Qi An GUAN Zhi Tong MI Zheng YUAN 

机构地区：[1]School of Mathematical Sciences,Peking University,Beijing 100871,P.R.China [2]School of Mathematics and Statistics,Beijing Jiaotong University,Beijing 100044,P.R.China [3]Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第9期2091-2152,共62页数学学报（英文版）

基　　金：supported by National Key R&D Program of China(Grant No.2021YFA1003100);supported by NSFC(Grant Nos.11825101,11522101 and 11431013);supported by the Talent Fund of Beijing Jiaotong University;supported by China Postdoctoral Science Foundation(Grant Nos.BX20230402 and 2023M743719)。

摘　　要：In this article,we consider a modified version of minimal L^(2) integrals on sublevel sets of plurisubharmonic functions related to modules at boundary points,and obtain a concavity property of the modified version.As applications,we give characterizations for the concavity degenerating to linearity on open Riemann surfaces and on fibrations over open Riemann surfaces.

关 键 词：Minimal L^(2)integrals plurisubharmonic functions boundary points weakly pseudoconvex Kähler manifold 

分 类 号：O186.12[理学—数学]