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Apologies for editing the title, but it was grammatically flawed....

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edited Oct 10, 2016 at 23:08

Joseph O'Rourke

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Does a compact nonflat surface without conjugate points hashave ergodic geodesic flow?

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asked Oct 10, 2016 at 17:21

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Does compact nonflat surface without conjugate points has ergodic geodesic flow?

I read this as a conjecture in the paper by Ballmann-Brin-Burns, titled "On Surfaces with No Conjugate points" JDG 25(249-273), 1987.

What is current status of this conjecture?

reference-request ds.dynamical-systems riemannian-geometry