3 papers
math.GR2026
Weak rank rigidity for groups with a navigable path system
Cornelia Drutu, Davide Spriano, Stefanie Zbinden
We show that groups with a mild form of non-positive curvature (a navigable path system) satisfy the weak rank rigidity conjecture: they either have linear divergence or a Morse el…
math.GT2025
Median geometry for spaces with measured walls and for groups
Indira Chatterji, Cornelia Druţu
We show that uniform lattices of isometries of products of real hyperbolic spaces act properly discontinuously and cocompactly on a median space. For lattices in products of at lea…
math.GR2025
Weak Morse properties in spaces with bounded combings
Cornelia Drutu, Davide Spriano, Stefanie Zbinden
We relate two notions of non-positive curvature: bounded combings and the Morse local-to-global (MLTG) property (in its weak and strong version). The latter is a property of a spac…