Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flows of Spin(7)-structures   We consider flows of Spin(7)-structures. We use local coordinates to describe
the torsion tensor of a Spin(7)-structure and derive the evolution equations
for a general flow of a Spin(7)-structure on an 8-manifold M. Specifically, we
compute the evolution of the metric and the torsion tensor. We also give an
explicit description of the decomposition of the space of forms on a manifold
with Spin(7)-structure, and derive an analogue of the second Bianchi identity
in Spin(7)-geometry. This identity yields an explicit formula for the Ricci
tensor and part of the Riemann curvature tensor in terms of the torsion.

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The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con