Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brown-York mass and positive scalar curvature II - Besse's conjecture
  and related problems   The Besse's conjecture was posted on the well-known book Einstein manifolds
by Arthur L. Besse, which describes the critical point of Hilbert-Einstein
functional with constraint of unit volume and constant scalar curvature. In
this article, we show that there is an interesting connection between Besse's
conjecture and positive mass theorem for Brown-York mass. With the aid of
positive mass theorem, we investigate the geometric structure of the so-called
CPE manifolds, which provides us further understanding of Besse's conjecture.
As a related topic, we also have a discussion of corresponding results for
V-static metrics.

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The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex