Bulletin of the Australian Mathematical Society

Research Article

ON LEGENDRE CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS

JI-EUN LEEa1

a1 Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea (email: jieunlee12@gmail.com)

Abstract

We find necessary and sufficient conditions for a Legendre curve in a Sasakian manifold to have: (i) a pseudo-Hermitian parallel mean curvature vector field; (ii) a pseudo-Hermitian proper mean curvature vector field in the normal bundle.

(Received April 28 2009)

2000 Mathematics subject classification

  • primary 58E20

Keywords and phrases

  • Legendre curves;
  • contact pseudo-Hermitian CR-manifold;
  • pseudo-Hermitian minimal;
  • pseudo-Hermitian mean curvature vector field

Footnotes

This work was supported by a National Research Foundation of Korea Grant funded by the Korean Government [NRF-2009-351-C00008].