2012/06/25 by Maïdo Rahula, Maido Rahula, Rahula, Maido +3
Engineering · Mathematics · #53C05 #58A05 #58A20 #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications #math.DG #msc:53C05 #msc:58A05 #msc:58A20
paper · pdf · doi:10.48550/arxiv.1206.5583
9 pages
arxiv created 2012/06/25 · openalex publication_date 2012/06/25 · arxiv updated 2012/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compare two ways of interpreting higher order connections. The geometric approach lies in the decomposition of higher order tangent space into the horizontal and vertical structures while the jet--like approach considers a higher order connection as the section of a jet prolongation of a fibered manifold. Particularly, we use the Ehresmann prolongation of a general connection and study the result from the point of view of geometric theory. We pay attention to linear connections, too.