6 citations · 14 across the 12 of their papers we have counts for
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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…
Cellular harmonic maps which are not diffeomorphisms
F. T. Farrell, P. Ontaneda
We give examples of harmonic cellular maps between negatively curved manifolds which are not diffeomorphisms but are homotopic to diffeomorphisms.
A caveat on the convergence of the Ricci flow for pinched negatively curved manifolds
F. T. Farrell, P. Ontaneda
We give examples of pinched negatively curved manifolds for which the Ricci flow does not converge smoothly.