Volume-Preserving Great Circle Flows on the 3-Sphere
In this paper, we study volume-preserving great circle flows on the 3-sphere S3, and introduce a moduli space for these, consisting of distance-decreasing holomorphic maps from connected open subsets of S2 to S2; one consequence is that the only volume-preserving great circle flows defined on the entire 3-sphere are those tangent to Hopf fibrations.
© 2001 Kluwer Academic Publishers
Gluck, Herman; Gu, Weiqing. "Volume-preserving great circle flows on the 3-sphere." Geom. Dedicata 88 (2001), no. 1-3, 259–282.