Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An application of the Duistertmaat--Heckman Theorem and its extensions
  in Sasaki Geometry   Building on an idea laid out by Martelli--Sparks--Yau, we use the
Duistermaat-Heckman localization formula and an extension of it to give
rational and explicit expressions of the volume, the total transversal scalar
curvature and the Einstein--Hilbert functional, seen as functionals on the
Sasaki cone (Reeb cone). Studying the leading terms we prove they are all
proper. Among consequences we get that the Einstein-Hilbert functional attains
its minimal value and each Sasaki cone possess at least one Reeb vector field
with vanishing transverse Futaki invariant.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: stat
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn