On the number of P-invariant closed characteristics on partially symmetric compact convex hypersurfaces in ${\mathbf{R}}^{2n}$

Hui Liu, Duanzhi Zhang

In this paper, let $n\ge 2$ be an integer, $P=diag(-I_{n-\kappa },I_{\kappa },-I_{n-\kappa },I_{\kappa })$ for some integer $\kappa \in [0,n)$, and $\Sigma \subset {\mathbf{R}}^{2n}$ be a partially symmetric compact convex hy…