  We study a relation between certain extensions of the Clifford bundle and
Finsler type structures that naturally generalize the standard Clifford
relation between (pseudo)-Riemannian metric structures and Dirac matrices. We
show for flat metrics that there is a triangle map between Finsler structures
constructed from an (pseudo)-Riemannian metric and $1$-forms on $M$, the
extension of the Clifford bundle and relevant Dirac type operators.
