Non-existence of higher order non-singular immersions of complex hypersurfaces into Euclidean spaces (Q1093214)

As is well known, many informations on non-existences of higher order non-singular immersions of projective spaces, lens spaces or Dold manifolds into Euclidean spaces, projective spaces or lens spaces have been shown. In this paper, the author studies non-existences of higher order non-singular immersions of \(V_ n(q)\) into the N-dimensional Euclidean space \({\mathbb{R}}^ N\) by means of Stiefel-Whitney classes of higher order tangent bundles of \(V_ n(q)\), where \(V_ n(q)\) stands for a non-singular complex hypersurface of degree \(q\geq 1\) in the \((n+1)\)- dimensional complex projective space \({\mathbb{C}}P_{n+1}\).