EXISTENCE OF A KIND OF SLANT MINIMAL SURFACES IN
is one of the eight basic models in Thurston’s geometrization conjecture. As a unimodular Lie group, there exist some contact metric structures on In this paper, we construct a contact metric structure P on and prove that there exist no minimal surfaces such that the angles from their normal vector fields to the Reeb vector field of P are or
minimal surface, slant surface, metric Lie group, contact metric structure.
