We study groups of isometries of packed, geodesically complete, CAT(0)-spaces for which the systole at every point is smaller than a universal constant depending only on the packing, deducing strong rigidity results. We show that if a space as above has some negative curvature behaviour then it cannot support a thin action: this generalizes the classical Margulis Lemma to a broader class of spaces.
Thin actions on CAT(0) spaces / Cavallucci, Nicola; Sambusetti, Andrea. - (2022).
Thin actions on CAT(0) spaces
Nicola Cavallucci
;Sambusetti
2022
Abstract
We study groups of isometries of packed, geodesically complete, CAT(0)-spaces for which the systole at every point is smaller than a universal constant depending only on the packing, deducing strong rigidity results. We show that if a space as above has some negative curvature behaviour then it cannot support a thin action: this generalizes the classical Margulis Lemma to a broader class of spaces.File allegati a questo prodotto
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