Title

Volume-Preserving Great Circle Flows on the 3-Sphere

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

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