Zero mean curvature surfaces in isotropic three-space

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2021; 58(1): 1-20

Online first article January 7, 2021 Printed January 31, 2021

Jin Ju Seo, Seong-Deog Yang

Korea University; Korea University

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We examine the theory of surfaces in the isotropic three-space, with emphases on the surfaces related to the zero mean curvature.

Keywords: Isotropic three-space, zero mean curvature, Weierstrass representation formula

MSC numbers: 53A35, 53B30

Supported by: The second author was partially supported by NRF 2017 R1E1A1A03070929 from the National Research Foundation of Korea