Mauro Patrão, Luiz San Martin, Lucas Seco
Published 2008-04-11, updated 2008-04-12Version 2
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 with finite center. The finest Morse decomposition of the induced flows on the associated flag bundles were obtained in previous articles. Here we describe the stable sets of these Morse components and, under an additional assumption, their Conley indices.
Topological Inference of the Conley Index
Linking combinatorial and classical dynamics: Conley index and Morse decompositions
The Conley index for discrete dynamical systems and the mapping torus
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