Non-existence of higher order non-singular immersions of complex hypersurfaces into Euclidean spaces
type: Item
instance of: scholarly article
title: Non-existence of higher order non-singular immersions of complex hypersurfaces into Euclidean spaces
zbMATH Open document ID: 0628.57018
author: Hiroshi Oike
published in: Hokkaido Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: 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 \({\mathbb{C}}P_{n+1}\).
Mathematics Subject Classification ID: 57R42
Mathematics Subject Classification ID: 57R20
zbMATH DE Number: 4022177
zbMATH Keywords: non-singular complex hypersurface in complex projective space
zbMATH Keywords: non- existences of higher order non-singular immersions
zbMATH Keywords: Stiefel-Whitney classes
zbMATH Keywords: higher order tangent bundles
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381517926
OpenAlex ID: W2040987175
DOI: 10.14492/HOKMJ/1381517926
description: scientific article; zbMATH DE number 4022177