The Lewowicz number of linear diffeomorphisms on the torus

Jorge Guiñez; Ángel D. Rueda

Published

1996-01-01

The Lewowicz number of linear diffeomorphisms on the torus

Keywords:

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

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Authors

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

Abstract (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.

How to Cite

APA

Guiñez, J. and 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. and Rueda, Ángel D. 1996. The Lewowicz number of linear diffeomorphisms on the torus. Revista Colombiana de Matemáticas. 30, 1 (Jan. 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: 2 feb. 2025.

Chicago

Guiñez, Jorge, and 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. and Rueda, Ángel D. (1996) “The Lewowicz number of linear diffeomorphisms on the torus”, Revista Colombiana de Matemáticas, 30(1), pp. 65–69. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33646 (Accessed: 2 February 2025).

IEEE

[1]

J. Guiñez and Ángel D. Rueda, “The Lewowicz number of linear diffeomorphisms on the torus”, rev.colomb.mat, vol. 30, no. 1, pp. 65–69, Jan. 1996.

MLA

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

Turabian

Guiñez, Jorge, and Ángel D. Rueda. “The Lewowicz number of linear diffeomorphisms on the torus”. Revista Colombiana de Matemáticas 30, no. 1 (January 1, 1996): 65–69. Accessed February 2, 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]. 1996 Jan. 1 [cited 2025 Feb. 2];30(1):65-9. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33646