Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of Lagrangian Type Submanifolds inside G2 manifolds   3-dimensional Harvey Lawson submanifolds were introduced in an earlier paper
by Akbulut-Salur, as examples of Lagrangian-type manifolds inside G2 manifold.
In this paper, we first show that the space of deformations of a smooth,
compact, orientable Harvey-Lawson submanifold HL in a G2 manifold M can be
identified with the direct sum of the space of smooth functions and closed
2-forms on HL. We then introduce a new class of Lagrangian-type 4-dimensional
submanifolds inside G2, call them RS submanifolds and prove that the space of
deformations of a smooth, compact, orientable RS submanifold in a G2 manifold M
can be identified with closed 3-forms on RS.

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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin