Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the curvature of the Bismut connection: Bismut Yamabe problem and
  Calabi-Yau with torsion metrics   We study two natural problems concerning the scalar and the Ricci curvatures
of the Bismut connection. Firstly, we study an analogue of the Yamabe problem
for Hermitian manifolds related to the Bismut scalar curvature, proving that,
fixed a conformal Hermitian structure on a compact complex manifold, there
exists a metric with constant Bismut scalar curvature in that class when the
expected constant scalar curvature is non-negative. A similar result is given
in the general case of Gauduchon connections. We then study an Einstein-type
condition for the Bismut Ricci curvature tensor on principal bundles over
Hermitian manifolds with complex tori as fibers. Thanks to this analysis we
construct new examples of Calabi-Yau with torsion Hermitian structures.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg