Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A moment map picture of relative balanced metrics on extremal K\"ahler
  manifolds   We give a moment map interpretation of some relatively balanced metrics. As
an application, we extend a result of S. K. Donaldson on constant scalar
curvature K\"ahler metrics to the case of extremal metrics. Namely, we show
that a given extremal metric is the limit of some specific relatively balanced
metrics. As a corollary, we recover uniqueness and splitting results for
extremal metrics in the polarized case.

24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio