Embedding arithmetic hyperbolic manifolds
Embedding arithmetic hyperbolic manifolds
We prove that any arithmetic hyperbolic n-manifold of simplest type can either be geodesically embedded into an arithmetic hyperbolic (n+1)-manifold or its universal mod 2 Abelian cover can.The reason for the even-odd distinction will become apparent below (see §4.4).The last sentence in Theorem 1.1 reflects, for example, the fact that …