On compact hyperbolic manifolds of Euler characteristic two
arXiv:1304.3509 · doi:10.2140/agt.2014.14.853
Abstract
We prove that for n>4 there is no compact arithmetic hyperbolic n-manifold whose Euler characteristic has absolute value equal to 2. In particular, this shows the nonexistence of arithmetically defined hyperbolic rational homology n-sphere with n even different than 4.
8 pages. v2: minor mistake at the end of the proof corrected. To appear in Alg. Geom. Topol