Isoparametric functions on Finsler space forms
Abstract
In this paper, we prove that transnormal functions are isoparametric functions on Finsler space forms (N(c),F) under certain conditions, which generalize Theorem B given by Q. M. Wang in Riemannian case. On forward Finsler space forms (N(c),F), we discuss the relationship between umbilic hypersurfaces and isoparametric hypersurfaces, and construct global and local isoparametric functions using the distance function.
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