Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On plurisubharmonicity of the solution of the Fefferman equation and its
  applications to estimate the bottom of the spectrum of Laplace-Beltrami
  operators   In this paper, we introduce a concept of super-pseudoconvex domain. We prove
that the solution of the Feffereman equation on a smoothly bounded strictly
pseudoconvex domain $D$ in $\CC^n$ is plurisubharmonic if and only if $D$ is
super-pseudoconvex. As an application, we give a lower bound estimate the
bottom of the spectrum of Laplace-Beltrami operators when $D$ is
super-pseudoconvex by using the result of Li and Wang \cite{LiWang}.

36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th