Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geodesic neighborhoods in unitary orbits of self-adjoint operators of
  K+C   We study the unitary orbit of a compact Hermitian diagonal operator with
spectral multiplicity one under the action of the unitary group U_(K+C) of the
unitization of the compact operators K(H)+C, or equivalently, the quotient
U_(K+C)/ U_Diag(K+C). We relate this and the action of different unitary
subgroups to describe metric geodesics (using a natural distance) which join
end points. As a consequence we obtain a local Hopf-Rinow theorem. We also
explore cases about the uniqueness of short curves and prove that there exist
some of these that cannot be parameterized using minimal anti-Hermitian
operators of K(H)+C.

13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph