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math.MG2026
Warped product spaces: Gromov hyperbolicity and identification of the visual boundary
Josh Kline, Nageswari Shanmugalingam, Gareth Speight +1
In this paper, we consider warped product spaces , where is a complete geodesic Gromov hyperbolic space, is a compact geodesic metric space, and the warping fun…
math.MG2026
A Lipschitz curve in a Carnot group that is purely unrectifiable by smooth horizontal curves
Gareth Speight, Scott Zimmerman
We construct a Lipschitz curve in the free Carnot group of step 3 with 2 generators that meets every horizontal curve in a set of measure zero. This shows that the $C^{1}_{…