文摘
Liu and Wang (Beiträge Algebra Geom 35:109–117, 1994) determined homogeneous nondegenerate centroaffine surfaces in the 3-dimensional affine space. However, n-dimensional homogeneous or locally homogeneous nondegenerate centroaffine hypersurfaces for \(n\ge 3\) have not been completely classified yet. In this paper, we determine 3-dimensional locally homogeneous nondegenerate centroaffine hypersurfaces with nondiagonalizable Tchebychev operator.