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Research Article | Open Access

Special non-lightlike ruled surfaces in Minkowski 3-space

Chang Sun, Kaixin Yao, Donghe Pei( )
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
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Abstract

In this paper, we give the existence and uniqueness theorems for non-lightlike framed surfaces and define a special non-lightlike ruled surface in Minkowski 3-space. It may have singularities. We give the conditions for identifying cross-caps and surfaces as developable and maximal. Besides, we demonstrate that if the spacelike ruled surface is developable, then the z-parameter curve is an asymptotic curve if and only if the ruled surface is maximal.

Keywords

non-lightlike framed surfacecross-capdevelopable surfacemaximal surfaceasymptotic curve
CLC number: 53A05, 57R45

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26600-26613
DOI: 10.3934/math.20231360

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Cite this article:
Sun C, Yao K, Pei D. Special non-lightlike ruled surfaces in Minkowski 3-space. AIMS Mathematics, 2023, 8(11): 26600-26613. https://doi.org/10.3934/math.20231360

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Received: 13 July 2023
Revised: 30 August 2023
Accepted: 05 September 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)