On the CR Poincar\'e-Lelong equation, Yamabe steady solitons and structures of complete noncompact Sasakian manifolds

Autor:	Chang, Der-Chen, Chang, Shu-Cheng, Han, Yingbo, Lin, Chien
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	In this paper, we solve the so-called CR Poincar\'e-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\"ahler 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. Comment: Revised version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1804.03526 Zobrazit plný text záznamu View this record from Arxiv