Building on the work by J. Jost and C.-J. Xu , and E. Barletta et al. , we study smooth pseudoharmonic maps from a compact strictly pseudoconvex CR manifold and their generalizations e.g. pseudoharmonic unit tangent vector fields.
Sorin DRAGOMIR. Yoshinobu KAMISHIMA. "Pseudoharmonic maps and vector fields on CR manifolds." J. Math. Soc. Japan 62 (1) 269 - 303, January, 2010. https://doi.org/10.2969/jmsj/06210269