Representation of Maximal Surfaces in a 3-Dimensional Lightlike Cone

Jinhua Qian; Xueshan Fu; Huili Liu

doi:10.3390/math8111921

Mathematics (Nov 2020)

Representation of Maximal Surfaces in a 3-Dimensional Lightlike Cone

Jinhua Qian,
Xueshan Fu,
Huili Liu

Affiliations

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

DOI: https://doi.org/10.3390/math8111921
Journal volume & issue: Vol. 8, no. 11
p. 1921

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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