Anosov Flow

A flow defined analogously to the Anosov diffeomorphism, except that instead of splitting the tangent bundle into two invariant sub-bundles, they are split into three (one exponentially contracting, one expanding, and one which is one-dimensional and tangential to the flow direction).

REFERENCES:

Anosov, D. "Roughness of Geodesic Flows on Compact Riemannian Manifolds of Negative Curvature." Dokl. Akad. Nauk SSSR 145, 707-709, 1962. English translation in Soviet Math. Dokl. 3, 1068-1069, 1962.

Anosov, D. "Ergodic Properties of Geodesic Flows on Closed Riemannian Manifolds of Negative Curvature." Dokl. Akad. Nauk SSSR 151, 1250-1252, 1963. English translated in Soviet Math. Dokl. 4, 1153-1156, 1963.