Communications of the
Korean Mathematical Society CKMS

From the point of view of pseudohermitian geometry, we classify Legendre surfaces of Sasakian space forms with non-minimal $\hat C$-parallel mean curvature vector field for the Tanaka-Webster connection.

Keywords: Legendre surfaces, parallel mean curvature vector, Sasakian space forms, Tanaka-Webster connection

MSC numbers: Primary 53C42, 53B25, 53C25