Hyperplane absolute winning property of bounded orbits under diagonalizable flows on ${\mathrm{SL}}_3(\mathbb{C})/{\mathrm{SL}}_3({\mathcal{O}}_{\mathbb{K}})$

Gaurav Sawant

We extend the work of An, Guan and Kleinbock on bounded orbits of diagonalizable flows on ${\mathrm{SL}}_3(\mathbb{R})/{\mathrm{SL}}_3(\mathbb{Z})$ to $\mathrm{SL}_3(\mathbb{C})/\mathr…