Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twistor geometry and warped product orthogonal complex structures   The twistor space of the sphere S^{2n} is an isotropic Grassmannian that
fibers over S^{2n}. An orthogonal complex structure on a subdomain of S^{2n} (a
complex structure compatible with the round metric) determines a section of
this fibration with holomorphic image. In this paper, we use this
correspondence to prove that any finite energy orthogonal complex structure on
R^6 must be of a special warped product form, and we also prove that any
orthogonal complex structure on R^{2n} that is asymptotically constant must
itself be constant. We will also give examples defined on R^{2n} which have
infinite energy, and examples of non-standard orthogonal complex structures on
flat tori in complex dimension three and greater.

35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph