Qun He, Xin Huang, Peilong Dong
Published 2021-06-09Version 1
In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that in a conic Minkowski space, besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, which are all isoparametric hypersurfaces, there are probably other isoparametric hypersurfaces, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in kropina space with constant flag curvature.
Isoparametric Hypersurfaces in Minkowski Spaces
Isoparametric Hypersurfaces of $\mathbb H^n\times\mathbb R$ and $\mathbb S^n\times\mathbb R$
Ideal theory and classification of isoparametric hypersurfaces
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