Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence properties of Donaldson's $T$-iterations on the Riemann
  sphere   In a recent paper Donaldson defines three operators on a space of Hermitian
metrics on a complex projective manifold: $T, T_{\nu}, T_K.$ Iterations of
these operators converge to balanced metrics, and these themselves approximate
constant scalar curvature metrics. In this paper we investigate the convergence
properties of these iterations by examining the case of the Riemann sphere as
well as higher dimensional $\mathbb{CP}^n$.

13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: eess
34
The categories of this paper are: chem-ph