Characterization of Closed Vector Fields in Finsler Geometry
arXiv:0704.1986
Abstract
The -exterior derivative , which is the Finslerian generalization of the (usual) exterior derivative of Riemannian geometry, is defined. The notion of a -closed vector field is introduced and investigated. Various characterizations of -closed vector fields are established. Some results concerning -closed vector fields in relation to certain special Finsler spaces are obtained.
10 pages, LaTeX file, Presented in "The International Conference on Finsler Extensions of Relativity Theory" held at Cairo, Egypt, November 4-10, 2006