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.
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.