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has been cited by the following article:
TITLE: Concircular π-Vector Fields and Special Finsler Spaces
AUTHORS: Nabil L. Youssef, Amr Soleiman
KEYWORDS: Finsler Manifold; Cartan Connection; Concurrent π-Vector Field; Concircular π-Vector Field; Special Finsler Space, Recurrent Finsler Space
JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.2, March 19, 2013
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.