

Author: Ionescu Paltin
Publisher: Taylor & Francis Ltd
ISSN: 0092-7872
Source: Communications in Algebra, Vol.36, Iss.4, 2008-04, pp. : 1480-1483
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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.
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