Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metric Clifford Algebra   In this paper we introduce the concept of metric Clifford algebra
$\mathcal{C\ell}(V,g)$ for a $n$-dimensional real vector space $V$ endowed with
a metric extensor $g$ whose signature is $(p,q)$, with $p+q=n$. The metric
Clifford product on $\mathcal{C\ell}(V,g)$ appears as a well-defined
\emph{deformation}(induced by $g$) of an euclidean Clifford product on
$\mathcal{C\ell}(V)$. Associated with the metric extensor $g,$ there is a gauge
metric extensor $h$ which codifies all the geometric information just contained
in $g.$ The precise form of such $h$ is here determined. Moreover, we present
and give a proof of the so-called \emph{golden formula,} which is important in
many applications that naturally appear in ours studies of multivector
functions, and differential geometry and theoretical physics.

1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat