Isoparametric functions on Finsler space forms

Published 15 Dec 2022 in math.DG | (2212.07625v2)

Abstract: In this paper, we prove that transnormal functions are isoparametric functions on a Finsler space form $(N(c),F)$ under certain conditions, which generalize Theorem B in [5]. Further more, we obtain a local isoparametric function constructed by a distance function and give a global isoparametric function on a standard Finsler sphere.

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