a1 Department of Mathematics, CNU The Institute of Basic Science, Chonnam National University, Gwangju 500–757, Korea (email: firstname.lastname@example.org)
a2 National Institute for Mathematical Sciences, 385-16 Doryong-dong, Yuseong-gu Daejeon 305-340, Korea (email: email@example.com)
a3 Department of Mathematics, Graduate School, Chonnam National University, Gwangju 500–757, Korea (email: firstname.lastname@example.org)
By using the pseudo-Hermitian connection (or Tanaka–Webster connection) , we construct the parametric equations of Legendre pseudo-Hermitian circles (whose -geodesic curvature is constant and -geodesic torsion is zero) in S3. In fact, it is realized as a Legendre curve satisfying the -Jacobi equation for the -geodesic vector field along it.
(Received January 14 2008)
2000 Mathematics subject classification
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The second author was supported by the Korea Research Council of Fundamental Science & Technology (KRCF), Grant No. C-RESEARCH-2006-11-NIMS.