%0 Journal Article %T On compact hyperbolic manifolds of Euler characteristic two %A Vincent Emery %J Mathematics %D 2013 %I arXiv %R 10.2140/agt.2014.14.853 %X 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. %U http://arxiv.org/abs/1304.3509v2