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math.DG2004★ 1 cited
Hidden symmetry and arithmetic manifolds
Benson Farb, Shmuel Weinberger
A "hidden symmetry" of a Riemannian manifold M is an isometry of a d-sheeted, 1<d<\infty, Riemannian cover of M which is not the lift of any isometry. In this paper we characterize…
math.DG2002
Real-analytic, volume-preserving actions of lattices on 4-manifolds
Benson Farb, Peter Shalen
We prove that any real-analytic, volume-preserving action of a lattice in a simple Lie group with $\Qrank(Γ)\geq 7$ on a closed 4-manifold of nonzero Euler characteristic facto…
math.DG2000
Harmonic Splittings of Surfaces
Benson Farb, Michael Wolf
We give a proof, using harmonic maps from disks to real trees, of Skora's theorem (Morgan-Otal (1993), Skora (1990), originally conjectured by Shalen): if G is the fundamental grou…