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(School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China;School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China [2]School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China

出　　处：《Acta Mathematica Scientia》2022年第1期172-186,共15页数学物理学报（B辑英文版）

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)。

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 surfaces.In 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.

关 键 词：value distribution harmonic surfaces quasiconformal mappings conformal metric Gauss map 

分 类 号：O186.1[理学—数学]