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arXiv · 1304.3509

On compact hyperbolic manifolds of Euler characteristic two

Vincent Emery
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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.

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Vincent Emery. 2013-09-10. On compact hyperbolic manifolds of Euler characteristic two. https://doi.org/10.2140/agt.2014.14.853

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