Applications of Lagrange Spaces to Physics

Abstract

The Lagrangian spaces [1–3] have been studied intensively in the last ten years due to their’s importance in the modern differential geometry [4] and to numerous applications in general relativity and electromagnetism [5–6]. Many other physical theories, like string theory, can benefit by the remarkable properties of the Lagrange spaces compared with the Riemannian ones. Of a particular interest are the generalized Lagrange spaces, first introduced by Miron [7]. Remarkable is the recent discovery of the relevance of such generalized spaces in the study of W — gravity [8]. The generalized Lagrange spaces of superior order [9] can give a new insight of the unification of the fundamental forces in Nature.