differential equation theory
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Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1921
Author(s):  
Jinhua Qian ◽  
Xueshan Fu ◽  
Huili Liu

In this paper, the representation formula of maximal surfaces in a 3-dimensional lightlike cone Q3 is obtained by making use of the differential equation theory and complex function theory. Some particular maximal surfaces under a special induced metric are presented explicitly via the representation formula.







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