On the total (non absolute) curvature of a even dimensional submanifold X immersed in R.
The total curvatures of the submanifolds immersed in the Euclidean space have been studied mainly by Santaló and Chern-Kuiper. In this paper we give geometrical and topological interpretation of the total (non absolute) curvatures of the even dimensional submanifolds immersed in R. This gives a generalization of two results obtained by Santaló.