Artículos de revistas
Morse and Lyapunov spectra and dynamics on flag bundles
Registro en:
Ergodic Theory And Dynamical Systems. Cambridge Univ Press, v. 30, n. 893, n. 922, 2010.
0143-3857
1469-4417
WOS:000278631800011
10.1017/S0143385709000285
Autor
Martin, LABS
Seco, L
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) In this paper we study characteristic exponents of flows in relation with the dynamics of flows on flag bundles. The starting point is a flow on a principal bundle with semi-simple group G. Projection against the lwasawa decomposition G = K AN defines an additive cocycic over the flow with values in a = log A Its Lyapunov exponents (limits along trajectories) and Morse exponents (limits along chains) are studied. A symmetric property of these spectral sets is proved, namely invariance under the Weyl group We also prove that these sets are located in certain Weyl chambers. defined from the dynamics on the associated flag bundles. As a special case linear flows on vector bundles are considered. o TEXTO COMPLETO DESTE ARTIGO, ESTARÁ DISPONÍVEL À PARTIR DE AGOSTO DE 2015. 30 3 893 922 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) CNPq [305513/03-6] FAPESP [04/00392-7, 02/10246-2]