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Volume-Preserving Great Circle Flows on the 3-Sphere.
- Source :
- Geometriae Dedicata; Nov2001, Vol. 88 Issue 1-3, p259-282, 24p
- Publication Year :
- 2001
-
Abstract
- In this paper, we study volume-preserving great circle flows on the 3-sphere S<superscript>3</superscript>, and introduce a moduli space for these, consisting of distance-decreasing holomorphic maps from connected open subsets of S<superscript>2</superscript> to S<superscript>2</superscript>; one consequence is that the only volume-preserving great circle flows defined on the entire 3-sphere are those tangent to Hopf fibrations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00465755
- Volume :
- 88
- Issue :
- 1-3
- Database :
- Complementary Index
- Journal :
- Geometriae Dedicata
- Publication Type :
- Academic Journal
- Accession number :
- 50030434
- Full Text :
- https://doi.org/10.1023/A:1013182217545