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Isoparametric hypersurfaces in Finsler space forms |
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| Authors: | He Qun Chen Yali Yin Songting Ren Tingting |
| Institution: | 1.School of Mathematical Sciences, Tongji University, Shanghai, 200092, China ;2.Department of Mathematics and Computer Science, Tongling University, Tongling, 244000, China ; |
| Abstract: | In this paper, we study isoparametric hypersurfaces in Finsler space forms by investigating focal points, tubes and parallel hypersurfaces of submanifolds. We prove that the focal submanifolds of isoparametric hypersurfaces are anisotropic-minimal and obtain a general Cartan-type formula in a Finsler space form with vanishing reversible torsion, from which we give some classifications on the number of distinct principal curvatures or their multiplicities. |
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