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Concircular π-Vector Fields and Special Finsler Spaces

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DOI: 10.4236/apm.2013.32040    3,236 Downloads   5,211 Views  

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 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. Almost all results obtained in this work are formulated in a coordinate-free form.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

N. Youssef and A. Soleiman, "Concircular π-Vector Fields and Special Finsler Spaces," Advances in Pure Mathematics, Vol. 3 No. 2, 2013, pp. 282-291. doi: 10.4236/apm.2013.32040.

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