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arXiv · 1208.2838

Concircular $π$-Vector Fields and Special Finsler Spaces

Nabil L. Youssef·A. Soleiman
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Abstract

The aim of the present paper is to investigate intrinsically the notion of a concircular $π$-vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and the concept of a concurrent vector field in Finsler geometry. Some properties of concircular $π$-vector fields are obtained. Different types of recurrence are discussed. The effect of the existence of a concircular $π$-vector field on some important special Finsler spaces is investigated. The whole work is formulated in a coordinate-free form.

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BibTeXRIS

Nabil L. Youssef, A. Soleiman. 2013-01-14. Concircular $π$-Vector Fields and Special Finsler Spaces. https://doi.org/10.4236/apm.2013.32040

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