On some \(L_k\)-finite-type Euclidean hypersurfaces
Summary: We study some \(L_k\)-finite-type Euclidean hypersurfaces. We classify \(L_k\)-1-type Euclidean hypersurfaces and \(L_k\)-null-2-type Euclidean hypersurfaces with at most two distinct principal curvatures. We also prove that, under some mild restrictions, there exists no \(L_k\)-null-3-type Euclidean hypersurface.
scientific article; zbMATH DE number 6123877