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Representation of Maximal Surfaces in a 3-Dimensional Lightlike Cone

Jinhua Qian, Xueshan Fu and Huili Liu
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Jinhua Qian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Xueshan Fu: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Huili Liu: Department of Mathematics, Northeastern University, Shenyang 110004, China

Mathematics, 2020, vol. 8, issue 11, 1-11

Abstract: In this paper, the representation formula of maximal surfaces in a 3-dimensional lightlike cone Q 3 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.

Keywords: complex function; lightlike cone; maximal surface; representation formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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