Examples of Anosov diffeomorphisms
โ
Jorge Lauret
๐
Article
๐
2003
๐
Elsevier Science
๐
English
โ 100 KB
We prove that if n is any graded rational Lie algebra, then the simply connected nilpotent Lie group N ร N with Lie algebra (n โ R) โ (n โ R) has a lattice ฮ such that the corresponding nilmanifold (N ร N)/ฮ admits an Anosov diffeomorphism. This gives a procedure to construct easily several explicit