Author

Sergio Zamora

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Preprint Aug 2026

Convergence of symmetries: nilpotency, dimension, and perfectness

Let $(X_i,p_i)$ be a sequence of pointed $n$-dimensional Riemannian manifolds with a uniform lower Ricci curvature bound, and $G_i \leq \operatorname{Iso} (X_i)$ a sequence of closed groups of isometries. We show that if the triples $(X_i, G_i, p_i)$ converge in the equivariant Gromov--Hausdorff sense to a triple $(X,G...

Sergio Zamora · 0 citations