Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vacuum Einstein Equations in Terms of Curvature Forms   A closed explicit representation of the vacuum Einstein equations in terms of
components of curvature 2-forms is given. The discussion is restricted to the
case of non-vanishing cubic invariant of conformal curvature spinor. The
complete set of algebraic and differential identities connecting particular
equations is presented and their consistency conditions are analyzed.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
2
The categories of this paper are: math