The minimal Morse components of translations on flag manifolds are normally hyperbolic

Details The minimal Morse components of translations on flag manifolds are normally hyperbolic The minimal Morse components of translations on flag manifolds are normally hyperbolic

2011-10-21

arxiv.org/abs/1110.4915v1

Mathematics

Dynamical Systems

Scientific paper

We prove that each minimal Morse components of a flow $g^t$ of translations of $G$ into its flag manifolds is normally hyperbolic, where $G$ is a connected semi-simple real Lie group. Previously, this was only known for flows $g^t$ with no unipotent component and it seemed unknown whether this was true even for general translations on the projective space. We also give a brief survey of some previous results.

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