Article ID Journal Published Year Pages File Type
4605805 Differential Geometry and its Applications 2016 26 Pages PDF
Abstract

In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in Finsler manifolds and give the necessary and sufficient conditions for a transnormal function to be isoparametric. We then prove that hyperplanes, Minkowski hyperspheres and F⁎F⁎-Minkowski cylinders in a Minkowski space with BH-volume (resp. HT-volume) form are all isoparametric hypersurfaces with one and two distinct constant principal curvatures respectively. Moreover, we give a complete classification of isoparametric hypersurfaces in Randers–Minkowski spaces.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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