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

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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)
出处 《Acta Mathematica Scientia》 SCIE CSCD 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)。
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