Himanshu Lekharu

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math.DS2026

On the existence of automorphisms acting expansively on the space of one-parameter subgroups of connected Lie groups

Himanshu Lekharu, Riddhi Shah

For a connected Lie group $G$ , we consider the action of Aut $(G)$ on Sub $_{G}$ , the set of all closed subgroups of $G$ endowed with the Chabauty topology. We study the action of auto…

math.DS2025

Dynamics of actions of automorphisms on the space of one-parameter subgroups of a torus and applications

Debamita Chatterjee, Himanshu Lekharu, Riddhi Shah

For a connected Lie group $G$ , we study the dynamics of actions of automorphisms of $G$ on certain compact invariant subspaces of closed subgroups of $G$ in terms of distality and…