Wednesday, August 15, 2012

1208.2838 (Nabil L. Youssef et al.)

On Concircular $π$-Vector Fields and Special Finsler Spaces    [PDF]

Nabil L. Youssef, A. Soleiman
The aim of the present paper is to investigate intrinsically the notion of a concircular $\pi$-vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and a concurrent vector fields in Finsler geometry. Some properties of concircular $\pi$-vector fields are obtained. Different types of recurrence are discussed. The effect of the existence of a concircular $\pi$-vector field on some important special Finsler spaces is investigated. The whole work is formulated in a coordinate-free form.
View original: http://arxiv.org/abs/1208.2838

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