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    Revista Colombiana de Matemáticas
    Volumen 30 [ 1] ( 1996) Páginas 65-69


    The Lewowicz number of linear diffeomorphisms on the torus

    Jorge Guiñez


    Angel D Rueda
    Universidad del Zulia, Maracaibo, VENEZUELA


    Abstract. 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 diffeomorphisms.

    Palabras claves. Manifold, Riemannian manifold, Anosov diffeomorphism, quadratic form, positive definite quadratic form.

    Codigo AMS. 1991 Primary 58F15. Secondary 15A3.