Publicado

1996-01-01

The Lewowicz number of linear diffeomorphisms on the torus

Palabras clave:


Manifold, Riemannian manifold, Anosov diffeomorphism, quadratic form, positive definite quadratic form (es)

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Autores/as

  • Jorge Guiñez Universidad del Zulia
  • Ángel D. Rueda Universidad del Zulia

We prove that 2 is a Lewowicz number of every linear Anosov diffeomorphism on the torus. This result is independent of any linear metric and provides an explicit Lyapounov function for the diffeomorfisms.