On the CR Poincaré-Lelong Equation, Yamabe Steady Solitons and Structures of Complete Noncompact Sasakian Manifolds

Authors
Chang, Der Chen Chang, Shu Cheng Han, Ying Bo Lin, Chien
Citation
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
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
8
Year of publication
2018
Pages
1313 - 1344
Database
ACNP
SICI code
Abstract
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.