Equilibrium measures for certain isometric extensions of Anosov systems
Equilibrium measures for certain isometric extensions of Anosov systems
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 …