The entropy conjecture for partially hyperbolic diffeomorphisms with 1-D center

Radu Saghin, Zhihong Xia

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

13 Citas (Scopus)

Resumen

We prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with one-dimensional center bundle, then the logarithm of the spectral radius of the map induced by f on the real homology groups of M is smaller or equal to the topological entropy of f. This is a particular case of the Shub's entropy conjecture, which claims that the same conclusion should be true for any C1 map on any compact manifold.

Idioma originalInglés
Páginas (desde-hasta)29-34
Número de páginas6
PublicaciónTopology and its Applications
Volumen157
N.º1
DOI
EstadoPublicada - 1 ene. 2010
Publicado de forma externa

Huella

Profundice en los temas de investigación de 'The entropy conjecture for partially hyperbolic diffeomorphisms with 1-D center'. En conjunto forman una huella única.

Citar esto