Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cartan Connections Associated to a $\beta$-Conformal Change in Finsler
  Geometry   On a Finsler manifold $(M,L)$, we consider the change
$L\longrightarrow\bar{L}(x,y)=e^{\sigma(x)}L(x,y)+\beta (x,y)$, which we call a
$\beta$-conformal change. This change generalizes various types of changes in
Finsler geometry: conformal, $C$-conformal, $h$-conformal, Randers and
generalized Randers changes. Under this change, we obtain an explicit
expression relating the Cartan connection associated to $(M,L)$ and the
transformed Cartan connection associated to $(M,\bar{L})$. We also express some
of the fundamental geometric objects (canonical spray, nonlinear connection,
torsion tensors, ...etc.) of $(M,\bar{L})$ in terms of the corresponding
objects of $(M,L)$. We characterize the $\beta$-homothetic change and give
necessary and sufficient conditions for the vanishing of the difference tensor
in certain cases. It is to be noted that many known results of Shibata,
Matsumoto, Hashiguchi and others are retrieved as special cases from this work.

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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex