Photo by saadahmad_umn from unsplash
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… Click to show full 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.
Keywords:
complete noncompact;
poincar lelong;
lelong equation;
noncompact sasakian;
equation;
structures complete
Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!