Transformations of polar Grassmannians preserving certain intersecting relations

Wen Liu, Mark Pankov, Kaishun Wang

Let $\Pi$ be a polar space of rank $n\ge 3$. Denote by ${\mathcal{G}}_k(\Pi )$ the polar Grassmannian formed by singular subspaces of $\Pi$ whose projective dimension is equal to $k$. Su…