On the internal tensor structures of the fibration T(Lm(Vn))

Abstract

In the present paper we consider some internal tensor structures. It is proved that if on the space $Lm\left(Vn\right)$ there are tensor fields $a_j^i$ and $a_{\beta }^{\alpha }$ defining almost a dual structure, then there exist such lifts of these tensor fields which represent either almost a binary structure, or almost a complex structure on $T(Lm\left(Vn\right))$.