On Finsler geometry of submanifolds
The main purpose of this paper is to show that the geometry of Finsler submanifolds can be investigated without the theory of Finsler connections. First, by using the Cartan tensor field, the author finds a Finsler manifold which cannot be immersed in any finite-dimensional Minkowski space. Then he defines the mean curvature and the normal curvature of a Finsler immersion. Finally, he proves some global results on closed oriented submanifolds of a Minkowski space. We think that the method introduced by the author of the present paper might have the potential to clarify the huge amount of questions from the geometry of Finsler submanifolds.
scientific article; zbMATH DE number 1195758