Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpolation of geometric structures compatible with a pseudo
  Riemannian metric   Let (M, g) be a pseudo Riemannian manifold. We consider four geometric
structures on M compatible with g: two almost complex and two almost product
structures satisfying additionally certain integrability conditions. For
instance, if r is a product structure and symmetric with respect to g, then r
induces a pseudo Riemannian product structure on M. Sometimes the integrability
condition is expressed by the closedness of an associated two-form: if j is
almost complex on M and {\omega}(x, y) = g(jx, y) is symplectic, then M is
almost pseudo K\"ahler. Now, product, complex and symplectic structures on M
are trivial examples of generalized (para)complex structures in the sense of
Hitchin. We use the latter in order to define the notion of interpolation of
geometric structures compatible with g. We also compute the typical fibers of
the twistor bundles of the new structures and give examples for M a Lie group
with a left invariant metric.

18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th