Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Killing spinors and Lagrangian graphs   We study generalized Killing spinors on the standard sphere $\mathbb{S}^3$,
which turn out to be related to Lagrangian embeddings in the nearly K\"ahler
manifold $S^3\times S^3$ and to great circle flows on $\mathbb{S}^3$. Using our
methods we generalize a well known result of Gluck and Gu concerning
divergence-free geodesic vector fields on the sphere and we show that the space
of Lagrangian submanifolds of $S^3\times S^3$ has at least three connected
components.

5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph