THE VALUE DISTRIBUTION OF GAUSS MAPS OF IMMERSED HARMONIC SURFACES WITH RAMIFICATION

作     者：Zhixue LIU Yezhou LI Xingdi CHEN 刘志学;李叶舟;陈行堤

作者机构：School of ScienceBeijing University of Posts and TelecommunicationsBeijing 100876China School of Mathematical SciencesHuaqiao UniversityQuanzhou 362021China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2022年第42卷第1期

页      面：172-186页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Fundamental Research Funds for the Central Universities(500421360) supported by NNSF of China(11571049,12071047) supported by NNSF of China(11971182) NSF of Fujian Province of China(2019J01066) 

主　　题：value distribution harmonic surfaces quasiconformal mappings conformal metric,Gauss map 

摘      要：Motivated by the result of Chen-Liu-Ru[1],we investigate the value distribution properties for the generalized Gauss maps of weakly complete harmonic surfaces immersed in R^(n) with ramification,which can be seen as a generalization of the results in the case of the minimal *** addition,we give an estimate of the Gauss curvature for the K-quasiconfomal harmonic surfaces whose generalized Gauss map is ramified over a set of hyperplanes.