Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the conformal method for the Einstein constraint equations   In this work, we use the global analysis and degree-theoretic methods
introduced by Smale to study the existence and multiplicity of solutions of the
vacuum Einstein constraint equations given by the conformal method of
Lichnerowicz-Choquet-Bruhat-York. In particular this approach gives a new proof
of the existence result of Maxwell and Holst-Nagy-Tsogtgerel. We also relate
the method to the limit equation of Dahl-Gicquaud-Humbert and the non-existence
result of Nguyen.

24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph