Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Biharmonic holomorphic maps and conformally Kahler geometry   We give conditions on the Lee vector field of an almost Hermitian manifold
such that any holomorphic map from this manifold into a (1,2)-symplectic
manifold must satisfy the fourth-order condition of being biharmonic, hence
generalizing the Lichnerowicz theorem on harmonic maps. These third-order
non-linear conditions are shown to greatly simplify on l.c.K. manifolds and
construction methods and examples are given in all dimensions.

22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex