Gareth Speight

collaborators

Showing math.MGShow all

3 papers · 1 filter

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 $X \times_{I ¨} Y$ , where $X$ is a complete geodesic Gromov hyperbolic space, $Y$ is a compact geodesic metric space, and the warping fu…

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 $C^{1}$ horizontal curve in a set of measure zero. This shows that the $C^{1}_{…

math.MG2025

Warped products, solid hyperbolic fillings, and the identity $D^{1, p} = N^{1, p} + R$

Ilmari Kangasniemi, Josh Kline, Nageswari Shanmugalingam +1

We construct a large class of metric measure spaces $Z$ which satisfy the identity $D^{1, p} (Z) = N^{1, p} (Z) + R$ , i.e.\ any measurable function $u : Z \to R$ …

Warped product spaces: Gromov hyperbolicity and identification of the visual boundary

A Lipschitz curve in a Carnot group that is purely unrectifiable by smooth horizontal curves

Warped products, solid hyperbolic fillings, and the identity D1,p=N1,p+R

Warped products, solid hyperbolic fillings, and the identity $D^{1, p} = N^{1, p} + R$