On a Theorem of Van de Ven

Author: Ionescu Paltin  

Publisher: Taylor & Francis Ltd

ISSN: 0092-7872

Source: Communications in Algebra, Vol.36, Iss.4, 2008-04, pp. : 1480-1483

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

A result by Van de Ven characterizes linear subspaces as the only closed submanifolds X ⊂ N for which the normal bundle exact sequence splits. We show that X is linear assuming only the splitting of the same exact sequence when restricted to some curve contained in X.