VALUE DISTRIBUTION PROPERTIES FOR GAUSS MAPS OF IMMERSED HARMONIC SURFACES RAMIFIED OVER HYPERSURFACES  

作　　者：Canhui LU Xingdi CHEN 陆灿辉;陈行堤(Department of Mathematics,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]Department of Mathematics,Huaqiao University,Quanzhou 362021,China

出　　处：《Acta Mathematica Scientia》2024年第6期2341-2360,共20页数学物理学报（B辑英文版）

基　　金：supported by the NFSC(11971182,12271189);the NFS of Fujian Province of China(2019J01066,2021J01304)。

摘　　要：In this paper,we study the value distribution properties of the generalized Gauss maps of weakly complete harmonic surfaces immersed in R^(m),which is the case where the generalized Gauss mapΦis ramified over a family of hypersurfaces{Q_(j)}_(j=1)^(q)in P^(m-1)(C)located in the N-subgeneral position.In addition,we investigate the Gauss curvature estimate for the K-quasiconformal harmonic surfaces immersed in R^(3)whose Gauss maps are ramified over a family of hypersurfaces located in the N-subgeneral position.

关 键 词：immersed harmonic surface generalized Gauss map HYPERSURFACE RAMIFICATION quasiconformal mapping Gauss curvature 

分 类 号：O186.1[理学—数学]