Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global inversion of nonsmooth mappings on Finsler manifolds   We consider the problem of finding sufficient conditions for a locally
Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For
this purpose, we develop the notion of Clarke generalized differential in this
context and, using this, we obtain a version of the Hadamard integral condition
for invertibility. As consequences, we deduce some global inversion and global
injectivity results for Lipschitz mappings on $\mathbb{R}^n$ in terms of
spectral conditions of its Clarke generalized differential.

32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics