Examples of Anosov diffeomorphisms
✍
Jorge Lauret
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 100 KB
We prove that if n is any graded rational Lie algebra, then the simply connected nilpotent Lie group N × N with Lie algebra (n ⊗ R) ⊕ (n ⊗ R) has a lattice Γ such that the corresponding nilmanifold (N × N)/Γ admits an Anosov diffeomorphism. This gives a procedure to construct easily several explicit