Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Farrell, F. T."'
Teichm\'uller space of negatively curved metrics on Complex Hyperbolic Manifolds is not contractible
Autor:
Farrell, F. T., Sorcar, G.
In this paper we prove that for all $n=4k-2$, $k\ge2$ there exists a closed smooth complex hyperbolic manifold $M$ with real dimension $n$ having non-trivial $\pi_1(\mathcal{T}^{<0}(M))$. $\mathcal{T}^{<0}(M)$ denotes the Teichm\"uller space of all n
Externí odkaz:
http://arxiv.org/abs/1611.03764
Autor:
Farrell, F. T., Ontaneda, P.
We show that the space of nonpositively curved metrics of a negatively curved manifold is highly non connected.
Externí odkaz:
http://arxiv.org/abs/1110.6347
Let G be a cocompact lattice in a virtually connected Lie group or the fundamental group of a 3-manifold. We prove the K-theoretic Farrell-Jones Conjecture (up to dimension one) and the L-theoretic Farrell-Jones Conjecture for G, where we allow coeff
Externí odkaz:
http://arxiv.org/abs/1101.0469
Given a map f: M \to M of closed topological manifolds we define torsion obstructions whose vanishing is a necessary condition for f being homotopy equivalent to a projection of a locally trivial fiber bundle. If N = S^1, these torsion obstructions a
Externí odkaz:
http://arxiv.org/abs/0901.1250
Autor:
Farrell, F. T., Ontaneda, P.
We study the moduli space of negatively curved metrics of a hyperbolic manifold.
Externí odkaz:
http://arxiv.org/abs/0805.2635
Autor:
Farrell, F. T., Ontaneda, P.
We study the Teichm\"uller space of negatively curved metrics on a high dimensional manifold, with applications to bundles with negatively curved fibers.
Externí odkaz:
http://arxiv.org/abs/0709.0998
Autor:
Farrell, F. T., Ontaneda, P.
We show that the space of negatively curved metrics of a closed negatively curved Riemannian $n$-manifold, $n\geq 10$, is highly non-connected.
Externí odkaz:
http://arxiv.org/abs/math/0607367
Autor:
Farrell, F. T., Ontaneda, P.
For a smooth manifold $M$ we define the Teichm\"uller space $\cT(M)$ of all Riemannian metrics on $M$ and the Teichm\"uller space $\cT^\epsilon(M)$ of $\epsilon$-pinched negatively curved metrics on $M$, where $0\leq\epsilon\leq\infty$. We prove that
Externí odkaz:
http://arxiv.org/abs/math/0406132
Autor:
Farrell, F. T., Lafont, J. -F.
Publikováno v:
Pure Appl. Math. Q. 5 (2009), pgs. 619-640
We consider pairs (X,Y) where X is a compact, locally CAT(-1) space, and Y is a totally geodesic subspace. The inclusion induces an embedding of the boundaries at infinity of the universal covers; we focus on the case where these are spheres whose di
Externí odkaz:
http://arxiv.org/abs/math/0405261
Autor:
Farrell, F. T., Lafont, J. -F.
Publikováno v:
Comment. Math. Helv., 80 (2005), pgs. 103-121.
We introduce the notion of an EZ-structure on a group. Delta-hyperbolic groups and CAT(0)-groups have EZ-structures. We show torsion-free groups having an EZ-structure automatically have an action by homeomorphisms on a closed (high-dimensional) ball
Externí odkaz:
http://arxiv.org/abs/math/0405260