2019/11/30 by Martín-Eduardo Frias-Armenta, M. E. Frías-Armenta, Frías-Armenta, M. E. +3
Mathematics · #37C10 #53B20 #53C22 #58C20 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory #math.DG #msc:37C10 #msc:53B20 #msc:53C22 #msc:58C20
paper · pdf · doi:10.48550/arxiv.1912.00105
arxiv created 2019/11/30 · openalex publication_date 2019/11/30 · arxiv updated 2019/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, the geodesibility of planar vector fields, which are algebrizable (differentiable in the sense of Lorch for some associative and commutative unital algebra), has been established. In this paper, we consider algebrizable three-dimensional vector fields, for which we give rectifications and Riemannian metrics under which they are geodesible. Furthermore, for each of these vector fields F we give two first integrals h1 and h2 such that the integral curves of F are locally defined by the intersections of the level surfaces of h1 and h2.