SLANT CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS

By Jong Taek Cho, Ji-Eun Lee. Bulletin of the Australian Mathematical Society, 2008

47 citations recorded by the source corpus.

Abstract By using the pseudo-Hermitian connection (or Tanaka–Webster connection) $\widehat \nabla $, we construct the parametric equations of Legendre pseudo-Hermitian circles (whose $\widehat \nabla $-geodesic curvature $\widehat \kappa $ is constant and $\widehat \nabla $-geodesic torsion $\widehat \tau $ is zero) in S3. In fact, it is realized as a Legendre curve satisfying the $\widehat \nabla $-Jacobi equation for the $\widehat \nabla $-geodesic vector field along it.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/10ff140a99d3ee6841386044c2bd2d2f12a65480