In present paper we define and study $n$-characteristic vector fields. We present definition of Tanaka-Webster connection, then use it for studying the behavior of $n$-characteristic vector fields. Also we show some results about of these vector fields by Tanaka-Webster connection.
"n-Characteristic Vector Fields of Contact Manifolds." J. Geom. Symmetry Phys. 44 67 - 75, 2017. https://doi.org/10.7546/jgsp-44-2017-67-75