Nabil L. Youssef
Published 2007-04-16Version 1
The $\pi$-exterior derivative ${\o}d$, which is the Finslerian generalization of the (usual) exterior derivative $d$ of Riemannian geometry, is defined. The notion of a ${\o}d$-closed vector field is introduced and investigated. Various characterizations of ${\o}d$-closed vector fields are established. Some results concerning ${\o}d$-closed vector fields in relation to certain special Finsler spaces are obtained.
Comments: 10 pages, LaTeX file, Presented in "The International Conference on Finsler Extensions of Relativity Theory" held at Cairo, Egypt, November 4-10, 2006
Journal: Hadronic J., 30,2 (2007), 193-207.
Characterization of Finsler Spaces of Scalar Curvature
A characterization of the $\hat{A}$-genus as a linear combination of Pontrjagin numbers
Moving frames and the characterization of curves that lie on a surface
![QR code for arXiv:0704.1986 [math.DG]](http://oss.arxitics.com/images/favicon.svg)