Geometry of Selberg's bisectors in the symmetric space $SL(n,\mathbb{R})/SO(n,\mathbb{R})$

Yukun Du

We study some properties of a family of symmetric spaces, namely $SL(n,\mathbb{R})/SO(n,\mathbb{R})=:\mathcal{P}(n)$, where we replace the Riemannian metric on $\mathcal{P}(n)$ wit…