# Problem 11

## Primary tabs

Nonalgebraic Anosov diffeos. Classify 3-dimensional Anosov flows; Is the variable curvature surface geodesic flow conjugate to constant curvature?

## Tags

See [1]?

### References

1. [gromov2000three] Gromov M\"ıl.  2000.  ENSEIGNEMENT MATHEMATIQUE. 46:391–402.

### See the introduction of https

See the introduction of https://arxiv.org/pdf/1505.06259.pdf for a quick account on results about classification of Anosov flows in dimension 3.

### The geodesic flow for a

The geodesic flow for a variable, non-constant negative curvature surface is never $C^2$ conjugate to a constant curvature flow. See the papers by [ghys1987flotsanosov] and [hurderkatok1991anosovflows].

### For non-algebraic Anosov

For non-algebraic Anosov diffeomorphisms. See Farrell, F. T.Jones, L. E.
Anosov diffeomorphisms constructed from π1Diff(Sn). Topology 17 (1978), no. 3, 273–282.