Distal Actions of Automorphisms of Lie Groups $G$ on $\mathrm{Su}{\mathrm{b}}_{\mathrm{G}}$

Riddhi Shah, Alok Kumar Yadav

For a locally compact metrizable group $G$, we study the action of $\mathrm{Aut}(\mathrm{G})$ on $\mathrm{Su}{\mathrm{b}}_{\mathrm{G}}$, the set of closed subgroups of $G$ endowed with the Chabauty topology. Given an auto…