Dynamics of Certain Distal Actions on Spheres

Riddhi Shah, Alok Kumar Yadav

Consider the action of $SL(n+1,\mathbb{R})$ on ${\mathbb{S}}^n$ arising as the quotient of the linear action on ${\mathbb{R}}^{n+1}\setminus \{0\}$. We show that for a semigroup $\mathf…