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(4): 959-972

Online first article June 23, 2021      Printed July 31, 2021

https://doi.org/10.4134/BKMS.b200732

Copyright © The Korean Mathematical Society.

Minimal translation surfaces with respect to semi-symmetric connections in $\mathbb{R}^3$ and $\mathbb{R}^3_1$

Yong Wang

Northeast Normal University

Abstract

In this paper, we define and classify minimal translation surfaces with respect to a kind of semi-symmetric metric connections and a kind of semi-symmetric non-metric connections in $\mathbb{R}^3$ and $\mathbb{R}^3_1$.

Keywords: Minimal surface, translation surface, semi-symmetric metric connections, semi-symmetric non-metric connections

MSC numbers: 53C40, 53C42

Supported by: This work was financially supported by NSFC No.11771070.

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