Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constant $\mu$-scalar curvature K\"ahler metric -- formulation and
  foundational results   We introduce mu-scalar curvature for a K"ahler metric with a moment map mu
and start up a study on constant mu-scalar curvature K"ahler metric as a
generalization of both cscK metric and K"ahler-Ricci soliton and as a
continuity path to extremal metric. We study some fundamental constraints to
the existence of constant mu-scalar curvature K"ahler metric by investigating a
volume functional as a generalization of Tian-Zhu's work, which is closely
related to Perelman's W-functional. A new K-energy is studied as an approach to
the uniqueness problem of constant mu-scalar curvature and as a prelude to new
K-stability concept.

26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys