The Lewowicz number of linear diffeomorphisms on the torus

Jorge Guiñez; Ángel D. Rueda

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

Resumen (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.

Cómo citar

APA

Guiñez, J. y 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. y Rueda, Ángel D. 1996. The Lewowicz number of linear diffeomorphisms on the torus. Revista Colombiana de Matemáticas. 30, 1 (ene. 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: 22 ene. 2025.

Chicago

Guiñez, Jorge, y 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. y Rueda, Ángel D. (1996) «The Lewowicz number of linear diffeomorphisms on the torus», Revista Colombiana de Matemáticas, 30(1), pp. 65–69. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33646 (Accedido: 22 enero 2025).

IEEE

[1]

J. Guiñez y Ángel D. Rueda, «The Lewowicz number of linear diffeomorphisms on the torus», rev.colomb.mat, vol. 30, n.º 1, pp. 65–69, ene. 1996.

MLA

Guiñez, J., y Ángel D. Rueda. «The Lewowicz number of linear diffeomorphisms on the torus». Revista Colombiana de Matemáticas, vol. 30, n.º 1, enero de 1996, pp. 65-69, https://revistas.unal.edu.co/index.php/recolma/article/view/33646.

Turabian

Guiñez, Jorge, y Ángel D. Rueda. «The Lewowicz number of linear diffeomorphisms on the torus». Revista Colombiana de Matemáticas 30, no. 1 (enero 1, 1996): 65–69. Accedido enero 22, 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 de enero de 1996 [citado 22 de enero de 2025];30(1):65-9. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33646