Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Global Regularity of Wave Maps in the Critical Sobolev Norm   We extend the recent result of T.Tao to wave maps defined from the Minkowski
space of dimension >4 to a target Riemannian manifold which possesses a
``bounded parallelizable'' structure. This is the case of Lie groups,
homogeneous spaces as well as the hyperbolic spaces. General compact Riemannian
manifolds can be imbedded as totally geodesic submanifolds in bounded
parallelizable manifolds, and therefore are also covered, in principle, by our
result. Compactness of the target manifold, which seemed to play an important
role in Tao's result, turns out however to play no role in our discussion. Our
proof follows closely that of Tao's recent paper and is based, in particular,
on its remarkable microlocal gauge renormalization idea.

18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys