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On Some -Finite-Type Euclidean Hypersurfaces

On Some -Finite-Type Euclidean Hypersurfaces

We study some -finite-type Euclidean hypersurfaces. We classify -1-type Euclidean hypersurfaces and -null-2-type Euclidean hypersurfaces with at most two distinct principal curvatures. We also prove that, under some mild restrictions, there exists no -null-3-type Euclidean hypersurface.