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 $\Bbb{R}^n$ 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.
Zhixue LIU
,
Yezhou LI
,
Xingdi CHEN
. THE VALUE DISTRIBUTION OF GAUSS MAPS OF IMMERSED HARMONIC SURFACES WITH RAMIFICATION[J]. Acta mathematica scientia, Series B, 2022
, 42(1)
: 172
-186
.
DOI: 10.1007/s10473-022-0109-9
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