Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the CR Poincar\'e-Lelong equation, Yamabe steady solitons and
  structures of complete noncompact Sasakian manifolds   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.

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin