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Peer-reviewedCC BY 4.0Mathematics

Cartan Clad Helices and Null Darboux Developable Surfaces in Minkowski 3-Space

  • Hanrui Zhao1
  • Jie Huang1
  1. 1School of Mathematics and Statistics, Heilongjiang University, Harbin 150080, China
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Abstract

In this paper, we study two special null Cartan curves in Minkowski 3-space, namely Cartan clad helices and Cartan g-clad helices, which are generalizations of the notions of null helices and Cartan slant helices. We establish the necessary and sufficient conditions for these two special null helices by using curvature and torsion. We also define two special null Darboux developable surfaces of a null Cartan curve, explore their relationship with the two special classes of null helices, and classify their singularities.

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Cite

BibTeXRIS
BibTeX
@article{zhao2026cartan,
  title = {{Cartan Clad Helices and Null Darboux Developable Surfaces in Minkowski 3-Space}},
  author = {Hanrui Zhao and Jie Huang},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14203680},
  url = {https://www.mdpi.com/2227-7390/14/20/3680},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Cartan Clad Helices and Null Darboux Developable Surfaces in Minkowski 3-Space
AU  - Hanrui Zhao
AU  - Jie Huang
PY  - 2026
DA  - 2026/10/10
JO  - Mathematics
DO  - 10.3390/math14203680
UR  - https://www.mdpi.com/2227-7390/14/20/3680
AB  - In this paper, we study two special null Cartan curves in Minkowski 3-space, namely Cartan clad helices and Cartan g-clad helices, which are generalizations of the notions of null helices and Cartan slant helices. We establish the necessary and sufficient conditions for these two special null helices by using curvature and torsion. We also define two special null Darboux developable surfaces of a null Cartan curve, explore their relationship with the two special classes of null helices, and classify their singularities.
SN  - 2227-7390
ER  -