Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant operators on manifolds with almost Hermitian symmetric
  structures, III. Standard operators   This paper demonstrates the power of the calculus developed in the two
previous parts of the series for all real forms of the almost Hermitian
symmetric structures on smooth manifolds, including e.g. conformal Riemannian
and almost quaternionic geometries. Exploiting some finite dimensional
representation theory of simple Lie algebras, we give explicit formulae for
distinguished invariant curved analogues of the standard operators in terms of
the linear connections belonging to the structures in question, so in
particular we prove their existence. Moreover, we prove that these formulae for
k-th order standard operators, k=1,2,..., are universal for all geometries in
question.

19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph