| On the CR Poincaré–Lelong Equation,Yamabe Steady Solitons and Structures of Complete Noncompact Sasakian Manifolds |
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| 基金项目： | The first author is partially supported by an NSF (Grant No. DMS-1408839) and a McDevitt Endowment Fund at Georgetown University; the second author is partially supported in part by the MOST of Taiwan; the third author is partially supported by an NSFC (Grant No. 11201400), Nanhu Scholars Program for Young Scholars of Xinyang Normal University and the Universities Young Teachers Program of Henan Province (Grant No. 2016GGJS-096) |
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| 摘 要： | 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 K?hler 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.
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