Submanifolds with splitting tangent sequence

Details Submanifolds with splitting tangent sequence Submanifolds with splitting tangent sequence

2003-04-16

arxiv.org/abs/math/0304223v3

Math. Z. 251, No.3 (2005), 491-507

Mathematics

Algebraic Geometry

15 pages, LaTeX2e; Proposition 5.4. changed, proof of Theorem 6.3. modified; final version

Scientific paper

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.

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