Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Morse index of harmonic maps and minimal immersions   In this paper we are concerned with harmonic maps and minimal immersions
defined on compact Riemannian manifolds and with values in homogenous strongly
harmonic manifolds. We show some results on the Morse index by varying these
maps along suitable conformal vector fields. We obtain also that they are
global maxima on some subspaces of the eigenspaces corresponding to the
nonvanishing eigenvalues of the Laplacian operator on the target manifolds.

21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ