Stable geometric properties of pluriharmonic and biholomorphic mappings,   and Landau-Bloch's theorem
  In this paper, we investigate some properties of pluriharmonic mappings defined in the unit ball. First, we discuss some geometric univalence criteria on pluriharmonic mappings, and then establish a Landau-Bloch theorem for a class of pluriharmonic mappings. 
Sh. Chen, S. Ponnusamy, and X. Wang
math.CV