Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of initial data sets for Lorentzian manifolds with
  lightlike parallel spinors   Lorentzian manifolds with parallel spinors are important objects of study in
several branches of geometry, analysis and mathematical physics. Their Cauchy
problem has recently been discussed by Baum, Leistner and Lischewski, who
proved that the problem locally has a unique solution up to diffeomorphisms,
provided that the intial data given on a space-like hypersurface satisfy some
constraint equations. In this article we provide a method to solve these
constraint equations. In particular, any curve (resp. closed curve) in the
moduli space of Riemannian metrics on $M$ with a parallel spinor gives rise to
a solution of the constraint equations on $M\times (a,b)$ (resp. $M\times
S^1$).

4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph