Chang, Der Chen et al., On the CR Poincaré-Lelong Equation, Yamabe Steady Solitons and Structures of Complete Noncompact Sasakian Manifolds, Acta mathematica Sinica. English series (Print) , 34(8), 2018, pp. 1313-1344
In this paper, we solve the so-called CR Poincaré.Lelong equation by solving the CR Poisson equation on a complete noncompact CR (2n + 1)-manifold with nonegative pseudohermitian bisectional curvature tensors and vanishing torsion which is an odd dimensional counterpart of Kähler geometry. With applications of this solution plus the CR Liouvelle property, we study the structures of complete noncompact Sasakian manifolds and CR Yamabe steady solitons.