2024/08/11 by Caponio, Erasmo, javaloyes, Miguel Angel
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2408.05841
The correspondence between wind Riemannian structures and spacetimes endowed with a Killing vector field is deepened by considering a cone structure endowed with a vector field that preserve the structure (termed "cone Killing vector field") and a wind Finslerian structure. Causality properties of the former are characterized by using metric-type properties of the latter. A particular attention is posed to the case of a cone structure associated with a Finsler-Kropina type metric, i.e. a field of compact and strongly convex indicatrices that enclose the zero vector in the closure of its bounded interior at each tangent space of the manifold.