Characterization of Closed Vector Fields in Finsler Geometry

Nabil L. Youssef

Characterization of Closed Vector Fields in Finsler Geometry

Differential Geometry 2007-09-07 v1

Authors: Nabil L. Youssef

Abstract

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.

Keywords

vector fields valued field

Cite

@article{arxiv.0704.1986,
  title  = {Characterization of Closed Vector Fields in Finsler Geometry},
  author = {Nabil L. Youssef},
  journal= {arXiv preprint arXiv:0704.1986},
  year   = {2007}
}

Comments

10 pages, LaTeX file, Presented in "The International Conference on Finsler Extensions of Relativity Theory" held at Cairo, Egypt, November 4-10, 2006

Characterization of Closed Vector Fields in Finsler Geometry

Abstract

Keywords

Cite

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