| THE VALUE DISTRIBUTION OF GAUSS MAPS OF IMMERSED HARMONIC SURFACES WITH RAMIFICATION |
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| 作者姓名： | 刘志学 李叶舟 陈行堤 |
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| 作者单位： | School of Science;School of Mathematical Sciences |
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| 基金项目： | 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)。 |
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| 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 Rn 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.
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| 关 键 词： | value distribution harmonic surfaces quasiconformal mappings conformal metric Gauss map |
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