Russell Ricks

activity

20182022

most citedExtending a rigidity result of Lytchak

1 citations · 1 across the 3 of their papers we have counts for

collaborators

Showing math.MGShow all

4 papers · 1 filter

math.MG2022

Intrinsic Rank in CAT(0) Spaces

Pedro Ontaneda, Russell Ricks

Let $X$ be a proper, geodesically complete CAT(0) space which satisfies Chen and Eberlein's duality condition. We show the existence of a strong notion of rank for $X$ by proving t…

math.MG2019★ 1 cited

Extending a rigidity result of Lytchak

Russell Ricks

We extend a rigidity result of Alexander Lytchak by relaxing the requirement that the CAT(1) space be geodesically complete.

math.MG2018

A rank rigidity result for CAT(0) spaces with one-dimensional Tits boundaries

Russell Ricks

We prove the following rank rigidity result for proper CAT(0) spaces with one-dimensional Tits boundaries: Let $Γ$ be a group acting properly discontinuously, cocompactly, and by i…

math.MG2018

Detecting product splittings of CAT(0) spaces

Russell Ricks

Let $X$ be a proper CAT( $0$ ) space and $G$ a cocompact group of isometries of $X$ without fixed point at infinity. We prove that if $\partial X$ contains an invariant subset of cir…