The spectrum of the adjoint representation and the hyperbolicity of dynamical systems

@inproceedings{Chicone1980TheSO,
  title={The spectrum of the adjoint representation and the hyperbolicity of dynamical systems},
  author={Carmen Chicone and Rand Curtis Swanson},
  year={1980}
}
Let (M,g) denote a smooth compact Riemannian manifold. Anosov [I] defined the global hypcrbolicity of a C2 diffeomorphism (resp. a nonsingular flow f’) on M :f (resp. fr) is h yperbolic or, as we shall say, Anosov, if the tangent bundle TM splits as a sum of invariant subbundles TM = E’ ~3 E(resp. TM = B @ E@ [A’, where [X7 is th I e ine bundle spanned by S = d/dt(ft)) such that Tf exponentially contracts E+ in positive time while exponentially contracting Ein negative time. In this paper we… CONTINUE READING

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