Submanifolds with splitting tangent sequence
Algebraic Geometry
2007-05-23 v3
Abstract
In the late 50's A. Van de Ven stated that the only compact submanifolds with splitting tangent sequence of the projective space are linear subspaces. In this paper a classification of all submanifolds with splitting tangent sequence of some further classes of (homogeneous) manifolds is given, like quadrics or abelian varieties.
Cite
@article{arxiv.math/0304223,
title = {Submanifolds with splitting tangent sequence},
author = {Priska Jahnke},
journal= {arXiv preprint arXiv:math/0304223},
year = {2007}
}
Comments
15 pages, LaTeX2e; Proposition 5.4. changed, proof of Theorem 6.3. modified; final version