Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the geometry of lift metrics and lift connections on the tangent
  bundle   We study lift metrics and lift connections on the tangent bundle $TM$ of a
Riemannian manifold $(M,g)$. We also investigate the statistical and Codazzi
couples of $TM$ and their consequences on the geometry of $M$. Finally, we
prove a result on $1$-Stein and Osserman structures on $TM$, whenever $TM$ is
equipped with the complete lift connection.

24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc