12 citations · 35 across the 25 of their papers we have counts for
5 papers · 1 filter
Intrinsic Rank in CAT(0) Spaces
Pedro Ontaneda, Russell Ricks
Let 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 by proving t…
Warped Graphs of Nonpositively Curved Gluings
Pedro Ontaneda, Ted Ofner
We prove that all finite graphs of groups with cyclic vertex and edge groups act freely and isometrically on a complete, nonpositively curved geodesic metric space.
Cocompact Proper CAT(0) Spaces
Ross Geoghegan, Pedro Ontaneda
This paper is about geometric and topological properties of a proper CAT(0) space which is cocompact - i.e. which has a compact generating domain with respect to the full isome…
Cocompact CAT(0) spaces are almost geodesically complete
Pedro Ontaneda
We prove that, under certain mild conditions, every cocompact CAT(0) space is almost geodesically complete.
Some Remarks on the Geodesic Completeness of Compact Nonpositively Curved Spaces
Pedro Ontaneda
We make some remarks on the existence of a geodesically complete core for any compact non-positively curved space.