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.
作者
Canhui LU
Xingdi CHEN
陆灿辉;陈行堤(Department of Mathematics,Huaqiao University,Quanzhou 362021,China)
基金
supported by the NFSC(11971182,12271189)
the NFS of Fujian Province of China(2019J01066,2021J01304)。