6 citations · 12 across the 12 of their papers we have counts for
4 papers · 1 filter
The minimal Morse components of translations on flag manifolds are normally hyperbolic
Mauro Patrão, Lucas Seco
Consider the iteration of an invertible matrix on the projective space: are the Morse components normally hyperbolic? As far as we know, this was only stablished when the matrix is…
Jordan decomposition and dynamics on flag manifolds
Mauro Patrão, Lucas Seco, Thiago Ferraiol
Let $\g$ be a semisimple Lie algebra and $G = \Int(\g)$. In this article, we relate the Jordan decomposition of $X \in \g$ (or ) with the dynamics induced on generalized f…
Conley index and stable sets for flows on flag bundles
Mauro Patrão, Luiz San Martin, Lucas Seco
Consider a continuous flow of automorphisms of a G-principal bundle which is chain transitive on its compact Hausdorff base. Here G is a connected noncompact semi-simple Lie group…
Morse and Lyapunov Spectra and Dynamics on Flag Bundles
Luiz A. B. San Martin, Lucas Seco
This paper studies 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 gro…