Volume-Preserving Great Circle Flows on the 3-Sphere

Authors

Herman Gluck, University of Pennsylvania
Weiqing Gu, Harvey Mudd CollegeFollow

Document Type

Article

Department

Mathematics (HMC)

Publication Date

11-2001

Abstract

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.

Rights Information

© 2001 Kluwer Academic Publishers

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1023/A:1013182217545

Recommended Citation

Gluck, Herman; Gu, Weiqing. "Volume-preserving great circle flows on the 3-sphere." Geom. Dedicata 88 (2001), no. 1-3, 259–282.