Morse and Lyapunov Spectra and Dynamics on Flag Bundles

Details Morse and Lyapunov Spectra and Dynamics on Flag Bundles Morse and Lyapunov Spectra and Dynamics on Flag Bundles

2007-09-20

arxiv.org/abs/0709.3278v1

Mathematics

Dynamical Systems

40 pages, 3 figures

Scientific paper

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 group $G$. Projection against the Iwasawa decomposition $G = KAN$ defines an additive cocycle over the flow with values in $\frak{a} = \log A$. Its Lyapunov exponents (limits along trajectories) and Morse exponents (limits along chains) are studied. It is proved a symmetric property of these spectral sets, namely invariance under the Weyl group. It is proved also that these sets are located in certain Weyl chambers, defined from the dynamics on the associated flag bundles. As a special case linear flows on vector bundles are considered.

Affiliated with

Also associated with

No associations

Rating

Morse and Lyapunov Spectra and Dynamics on Flag Bundles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Morse and Lyapunov Spectra and Dynamics on Flag Bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Morse and Lyapunov Spectra and Dynamics on Flag Bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-518312