Cartan Clad Helices and Null Darboux Developable Surfaces in Minkowski 3-Space
Year: 2026
Type: article
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.
Source: Mathematics
DOI: 10.3390/math14203680
Authors: Hanrui Zhao, Jie Huang
Institution: Heilongjiang University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7221568974