The Lewowicz number of linear diffeomorphisms on the torus

Jorge Guiñez; Ángel D. Rueda

Veröffentlicht

1996-01-01

The Lewowicz number of linear diffeomorphisms on the torus

Schlagworte:

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

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Autor/innen

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.

Zitationsvorschlag

APA

Guiñez, J. und 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. und 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: 9 apr. 2025.

Chicago

Guiñez, Jorge, und 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. und Rueda, Ángel D. (1996) „The Lewowicz number of linear diffeomorphisms on the torus“, Revista Colombiana de Matemáticas, 30(1), S. 65–69. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/33646 (Zugegriffen: 9 April 2025).

IEEE

[1]

J. Guiñez und Ángel D. Rueda, „The Lewowicz number of linear diffeomorphisms on the torus“, rev.colomb.mat, Bd. 30, Nr. 1, S. 65–69, Jan. 1996.

MLA

Guiñez, J., und Ángel D. Rueda. „The Lewowicz number of linear diffeomorphisms on the torus“. Revista Colombiana de Matemáticas, Bd. 30, Nr. 1, Januar 1996, S. 65-69, https://revistas.unal.edu.co/index.php/recolma/article/view/33646.

Turabian

Guiñez, Jorge, und Ángel D. Rueda. „The Lewowicz number of linear diffeomorphisms on the torus“. Revista Colombiana de Matemáticas 30, no. 1 (Januar 1, 1996): 65–69. Zugegriffen April 9, 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. Januar 1996 [zitiert 9. April 2025];30(1):65-9. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/33646