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Research Article | Open Access

Principal normal surfaces of generalized null Cartan curves in Minkowski 3-space

Boyuan Xu, Donghe Pei( )
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
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Abstract

We define the principal normal surfaces of generalized null Cartan curves in Minkowski 3-space. We give the necessary and sufficient conditions for the relationship between the singularities of these surfaces and the finite type of their base curves. An analogous result does not hold in Euclidean 3-space, where the singularities of the principal normal surface depend also on the torsion of the base curve.

Keywords

principal normal surfacesgeneralized null Cartan curvesfinite typesingularities
CLC number: 53A04, 57R45

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AIMS Mathematics
Volume 11 Issue 6,
June 2026
Pages 15716-15724
DOI: 10.3934/math.2026646

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Cite this article:
Xu B, Pei D. Principal normal surfaces of generalized null Cartan curves in Minkowski 3-space. AIMS Mathematics, 2026, 11(6): 15716-15724. https://doi.org/10.3934/math.2026646

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Received: 29 January 2026
Revised: 18 May 2026
Accepted: 26 May 2026
Published: 15 June 2026
©2026 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)