  Given a right exact functor from an abelian category into another abelian
category, there is an associated abelian category called the comma category of
the functor. In this paper, we characterize when left Frobenius pairs (resp.
strong left Frobenius pairs) in abelian categories can induce left Frobenius
pairs (resp. strong left Frobenius pairs) in their comma categories. This leads
to the construction of recollements of right triangulated categories (resp.
triangulated categories) from the stable categories of left Frobenius pairs
(resp. strong left Frobenius pairs). Applications are given to complete
hereditary cotorsion pairs and Gorenstein projective objects.
