On the Existence of θ-Vector fields On n-Surfaces

On the Existence of θ-Vector fields On n-Surfaces

In this paper, we introduce the concept of the θ-vector field defined on an n-surface S, and investigate the problem of their existence, uniqueness, cardinality of the set of θ-􀀀vector elds and existence and uniqueness of their integral curves. We also obtain a kind on n􀀀surfaces S, to exists a constant 􀀀vector field on them.