Characterization of Closed Vector Fields in Finsler Geometry

Details Characterization of Closed Vector Fields in Finsler Geometry Characterization of Closed Vector Fields in Finsler Geometry

2007-04-16

arxiv.org/abs/0704.1986v1

Hadronic J., 30,2 (2007), 193-207.

Mathematics

Differential Geometry

10 pages, LaTeX file, Presented in "The International Conference on Finsler Extensions of Relativity Theory" held at Cairo, Eg

Scientific paper

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.

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