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Equilibrium measures for certain isometric extensions of Anosov systems
Published online by Cambridge University Press: 22 September 2016
Abstract
We prove that for the frame flow on a negatively curved, closed manifold of odd dimension other than 7, and a Hölder continuous potential that is constant on fibers, there is a unique equilibrium measure. Brin and Gromov’s theorem on the ergodicity of frame flows follows as a corollary. Our methods also give a corresponding result for automorphisms of the Heisenberg manifold fibering over the torus.
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- © Cambridge University Press, 2016
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