6 citations · 13 across the 9 of their papers we have counts for
11 papers
On the Existence of Periodic Orbits for the Fixed Homogeneous Circle Problem
C. Azevedo, P. Ontaneda
We prove the existence of some types of periodic orbits for a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous…
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…
The Teichmüller Space of Pinched Negatively Curved Metrics on a Hyperbolic Manifold is not Contractible
F. T. Farrell, P. Ontaneda
For a smooth manifold we define the Teichmüller space $\cT(M)$ of all Riemannian metrics on and the Teichmüller space $\cT^ε(M)$ of -pinched negatively curved metrics on…
Branched covers of hyperbolic manifolds and harmonic maps
F. T. Farrell, P. Ontaneda
We give examples of harmonic maps between negatively curved manifolds with special properties. These negatively curved manifolds do not have the homotopy type of a locally symmetri…
Exotic structures and the limitations of certain analytic methods in geometry
F. T. Farrell, P. Ontaneda
In this survey we review some results concerning negatively curved exotic strucutres (DIFF and PL) and its (unexpected) implications on the limitations of some analytic methods in…
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.