Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformally Osserman manifolds and conformally complex space forms   We characterize manifolds which are locally conformally equivalent to either
complex projective space or to its negative curvature dual in terms of their
Weyl curvature tensor. As a byproduct of this investigation, we classify the
conformally complex space forms if the dimension is at least 8. We also study
when the Jacobi operator associated to the Weyl conformal curvature tensor of a
Riemannian manifold has constant eigenvalues on the bundle of unit tangent
vectors and classify such manifolds which are not conformally flat in
dimensions congruent to 2 mod 4.

7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci