| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Stochastics and Dynamics; v. 12, n. 2 JUN 2012. |
| Web of Science Citations: | 4 |
| Abstract | |
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) | |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |