On the distality and expansivity of certain maps on spheres

Abstract

Any affine map on the (n+1)-dimensional Euclidean space gives rise to a natural map on the n-dimensional sphere whose dynamical aspects are not so well-studied in the literature. We explore the dynamical aspects of these maps by investigating about their distality and expansivity.

Cited by in corpus (1)

• Characterisation of distal actions of automorphisms on the space of one-parameter subgroups of Lie groups