2021/05/19 by Ming Xu, Xu, Ming, Ju Le Tan +3
Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2105.08900
openalex publication_date 2021/05/19 · openalex created_date 2023/04/19 · openalex updated_date 2026/07/28
Using a navigation process with the datum (F,V), in which F is a Finsler metric and the smooth tangent vector field V satisfies F(-V(x))>1 everywhere, a Lorentz Finsler metric F can be induced. Isoparametric functions and isoparametric hypersurfaces with or without involving a smooth measure can be defined for F. When the vector field V in the navigation datum is homothetic, we prove the local correspondences between isoparametric functions and isoparametric hypersurfaces before and after this navigation process. Using these correspondences, we provide some examples of isoparametric functions and isoparametric hypersurfaces on a Funk space of Lorentz Randers type.