2011/11/07 by József Szilasi, Szilasi, József, Anna Tóth +1
Physics and Astronomy · #53A30 #53C60 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1111.1629
openalex publication_date 2011/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Applying concepts and tools from classical tangent bundle geometry and using the apparatus of the calculus along the tangent bundle projection ('pull-back formalism'), first we enrich the known lists of the characterizations of affine vector fields on a spray manifold and conformal vector fields on a Finsler manifold. Second, we deduce consequences on vector fields on the underlying manifold of a Finsler structure having one or two of the mentioned geometric properties.