Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Rigidity Estimates for Incompatible Fields in Dimension $\ge$
  3   We prove geometric rigidity inequalities for incompatible fields in dimension
higher than 2. We are able to obtain strong scaling-invariant $L^p$ estimates
in the supercritical regime, while for critical exponent $1^* = \frac{n}{n-1}$
we have a scaling invariant inequality only for the weak-$L^1$ norm. Although
not optimal, such an estimate in $L^{1 ,\infty}$ is enough in order to infer a
useful lemma which gives $BV$ bounds for $SO(n)$-valued fields with bounded
Curl.

12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys