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Anosov diffeomorphisms of flat manifolds

✍ Scribed by Hugh L. Porteous


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
644 KB
Volume
11
Category
Article
ISSN
0040-9383

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πŸ“œ SIMILAR VOLUMES


Examples of Anosov diffeomorphisms
✍ Jorge Lauret πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 100 KB

We prove that if n is any graded rational Lie algebra, then the simply connected nilpotent Lie group N Γ— N with Lie algebra (n βŠ— R) βŠ• (n βŠ— R) has a lattice Ξ“ such that the corresponding nilmanifold (N Γ— N)/Ξ“ admits an Anosov diffeomorphism. This gives a procedure to construct easily several explicit