2025/02/08 by Mohamed Tahar Kadaoui Abbassi, Abbassi, Mohamed Tahar Kadaoui, Khadija Boulagouaz +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #53B25 #53C25 #53C40 #Acupuncture Treatment Research Studies #Bundle #Differential Geometry (math.DG) #FOS: Mathematics #Geology #Geometric Analysis and Curvature Flows #Geometry #Helix (gastropod) #Helix bundle #Materials science #Mathematical analysis #Mathematics #Myofascial pain diagnosis and treatment #Normal bundle #Physics #Surface (topology) #Tangent #Tangent bundle #Tangent space #Unit (ring theory) #Unit tangent bundle #Vector bundle
paper · pdf · doi:10.48550/arxiv.2502.05646
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we classify helix (spacelike, timelike and null) curves, directed by the geodesic flow vector field, on the (3-dimensional) unit tangent bundle of a pseudo-Riemannian surface of constant Gaussian curvature endowed with a pseudo-Riemannian g-natural metric of Kaluza-Klein type. We find, in particular, that every such helix curve is, in fact, a circular helix in the senses that its curvature and torsion are constant.