12 citations · 35 across the 25 of their papers we have counts for
29 papers
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.
Sphere Bundles with 1/4-pinched Fiberwise Metrics
Thomas Farrell, Zhou Gang, Dan Knopf +1
We prove that all smooth sphere bundles that admit fiberwise 1/4-pinched metrics are induced bundles of vector bundles, so their structure groups reduce from the diffeomorphism gro…
New partially hyperbolic dynamical systems I
Andrey Gogolev, Pedro Ontaneda, Federico Rodriguez Hertz
We propose a new method for constructing partially hyperbolic diffeomorphisms on closed manifolds. As a demonstration of the method we show that there are simply connected closed m…
Cut Limits on Hyperbolic Extensions
Pedro Ontaneda
We study the relationship between two concepts: cut limits and hyperbolic extensions.
Deforming an ε-Close to Hyperbolic Metric to a Hyperbolic Metric
Pedro Ontaneda
We define and study "hyperbolic forcing".