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arXiv · 2106.05056

Isoparametric hypersurfaces of conic Finsler manifolds

Qun He·Xin Huang·Peilong Dong
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Abstract

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 spaces with constant flag curvature.

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Qun He, Xin Huang, Peilong Dong. 2021-06-09. Isoparametric hypersurfaces of conic Finsler manifolds. https://arxiv.org/abs/2106.05056

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