Sets of singular restrictions of symplectic forms

Details Sets of singular restrictions of symplectic forms Sets of singular restrictions of symplectic forms

2000-11-17

arxiv.org/abs/math/0011124v1

Mathematics

Symplectic Geometry

8pages

Scientific paper

Let $\Omega$ be a non-singular syplectic form on some vector space $V$.
Denote by $S^{n}_{k}(\Omega)$ the set of all $k$-dimensional planes $s$ in $V$
such that the restriction of $\Omega$ onto $s$ is singular. For the cases when
$k=2,n-2$ a simple geometric characteristic of $S^{n}_{k}(\Omega)$ will be
described.

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