DECOMPOSITION OF STOCHASTIC FLOWS WITH AUTOMORPHISM OF SUBBUNDLES COMPONENT

Autor(es)

Catuogno, Pedro J. ^[1] ; da Silva, Fabiano B. ^[1] ; Ruffino, Paulo R. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Stochastics and Dynamics; v. 12, n. 2 JUN 2012.
• Citações Web of Science: 4

Resumo

We show that given a G-structure P on a differential manifold M, if the group G(M) of automorphisms of P is large enough, then there exists the quotient of a stochastic flows phi(t) by G(M), in the sense that phi(t) = phi(t) o rho(t) where xi(t) is an element of G(M), the remainder rho(t) has derivative which is vertical, transversal to the fibres of P. This geometrical context generalises previous results where M is a Riemannian manifold and phi(t) is decomposed with an isometric component, see {[}12] and {[}15], which in our context corresponds to the particular case of an SO(n)-structure on M. (AU)

• Processo FAPESP: 07/06896-5 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Luiz Antonio Barrera San Martin
• Modalidade de apoio: Auxílio à Pesquisa - Temático