Conley index and stable sets for flows on flag bundles
Dynamical Systems
2008-04-14 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0804.1943,
title = {Conley index and stable sets for flows on flag bundles},
author = {Mauro Patrão and Luiz San Martin and Lucas Seco},
journal= {arXiv preprint arXiv:0804.1943},
year = {2008}
}
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34 pages