Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: E-Courant algebroids   In this paper, we introduce the notion of $E$-Courant algebroids, where $E$
is a vector bundle. It is a kind of generalized Courant algebroid and contains
Courant algebroids, Courant-Jacobi algebroids and omni-Lie algebroids as its
special cases. We explore novel phenomena exhibited by $E$-Courant algebroids
and provide many examples. We study the automorphism groups of omni-Lie
algebroids and classify the isomorphism classes of exact $E$-Courant
algebroids. In addition, we introduce the concepts of $E$-Lie bialgebroids and
Manin triples.

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The categories of this paper are: supr-con
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
35
The categories of this paper are: mtrl-th