The Lewowicz number of linear diffeomorphisms on the torus

Jorge Guiñez; Ángel D. Rueda

Publié-e

1996-01-01

The Lewowicz number of linear diffeomorphisms on the torus

Mots-clés :

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

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Auteurs-es

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

Résumé (en)

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.

Comment citer

APA

Guiñez, J. et Rueda, Ángel D. (1996). The Lewowicz number of linear diffeomorphisms on the torus. Revista Colombiana de Matemáticas, 30(1), 65–69. https://revistas.unal.edu.co/index.php/recolma/article/view/33646

ACM

[1]

Guiñez, J. et Rueda, Ángel D. 1996. The Lewowicz number of linear diffeomorphisms on the torus. Revista Colombiana de Matemáticas. 30, 1 (janv. 1996), 65–69.

ACS

(1)

Guiñez, J.; Rueda, Ángel D. The Lewowicz number of linear diffeomorphisms on the torus. rev.colomb.mat 1996, 30, 65-69.

ABNT

GUIÑEZ, J.; RUEDA, Ángel D. The Lewowicz number of linear diffeomorphisms on the torus. Revista Colombiana de Matemáticas, [S. l.], v. 30, n. 1, p. 65–69, 1996. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33646. Acesso em: 28 avr. 2025.

Chicago

Guiñez, Jorge, et Ángel D. Rueda. 1996. « The Lewowicz number of linear diffeomorphisms on the torus ». Revista Colombiana De Matemáticas 30 (1):65-69. https://revistas.unal.edu.co/index.php/recolma/article/view/33646.

Harvard

Guiñez, J. et Rueda, Ángel D. (1996) « The Lewowicz number of linear diffeomorphisms on the torus », Revista Colombiana de Matemáticas, 30(1), p. 65–69. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33646 (Consulté le: 28 avril 2025).

IEEE

[1]

J. Guiñez et Ángel D. Rueda, « The Lewowicz number of linear diffeomorphisms on the torus », rev.colomb.mat, vol. 30, nᵒ 1, p. 65–69, janv. 1996.

MLA

Guiñez, J., et Ángel D. Rueda. « The Lewowicz number of linear diffeomorphisms on the torus ». Revista Colombiana de Matemáticas, vol. 30, nᵒ 1, janvier 1996, p. 65-69, https://revistas.unal.edu.co/index.php/recolma/article/view/33646.

Turabian

Guiñez, Jorge, et Ángel D. Rueda. « The Lewowicz number of linear diffeomorphisms on the torus ». Revista Colombiana de Matemáticas 30, no. 1 (janvier 1, 1996): 65–69. Consulté le avril 28, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33646.

Vancouver

1.

Guiñez J, Rueda Ángel D. The Lewowicz number of linear diffeomorphisms on the torus. rev.colomb.mat [Internet]. 1 janv. 1996 [cité 28 avr. 2025];30(1):65-9. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33646