Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On one connection between Lorentzian and Euclidean metrics   We investigate connections between pairs of (pseudo-)Riemannian metrics whose
sum is a (tensor) product of a covector field with itself. A bijective mapping
between the classes of Euclidean and Lorentzian metrics is constructed as a
special result. The existence of such maps on a differentiable manifold is
discussed. Similar relations for metrics of arbitrary signature on a manifold
are considered. We point the possibility that any physical theory based on real
Lorentzian metric(s) can be (re)formulated equivalently in terms of real
Euclidean metric(s).

7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn