A Study of Normal Curvature of a Vector Field in Minkowskian Finsler Space

Abstract

The derived vector of a vector v belonging to a vector field along a Curve C in Riemannian or Finslerian space is known as the absolute curvature vector of the field with respect to the curve C. This curvature vector has components along the tangent and the normal. The tangential component for Riemannian space was studied by W. C. Graustein (1932) and R. M. Peters (1935) (1937). The normal component for Riemannian spaces was studied by T. K. Pan (1952). Y. Nagata extended the results for Finsler spaces in Cartan's sense. In the present paper it has been studied for Finsler spaces of more general character.