Abstract

In this paper, we mainly discuss the isoparametric hypersurfaces of a class of Finsler manifolds (M˜,F˜) produced by navigation datum (F,v), where F is a Minkowski metric. By studying the relationship between the principal curvatures with respect to F˜ and F, we get a general Cartan-type identity and a complete classification of isoparametric hypersurfaces in (M˜,F˜(F,v)). Moreover, for the case v=2cx, when (M˜,F˜) is a Funk-type space with negative constant flag curvature −c2, we also get a complete classification of dμBH-isoparametric hypersurfaces.

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