Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the geodesic problem for the Dirichlet metric and the Ebin metric on
  the space of Sasakian metrics   We study the geodesic equation for the Dirichlet (gradient) metric in the
space of Kaehler potentials. We first solve the initial value problem for the
geodesic equation of the combination metric, including the gradient metric. We
then discuss a comparison theorem between it and the Calabi metric.
  As geometric motivation of the combination metric, we find that the Ebin
metric restricted to the space of type II deformations of a Sasakian structure
is the sum of the Calabi metric and the gradient metric.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
3
The categories of this paper are: physics