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Invariant sets of Anosovs diffeomorphisms

✍ Scribed by Ricardo Mañé


Publisher
Springer-Verlag
Year
1978
Tongue
English
Weight
297 KB
Volume
46
Category
Article
ISSN
0020-9910

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📜 SIMILAR VOLUMES


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