N. L. Youssef, S. H. Abed and A. Soleiman, “A Global Approach to the Theory of Special Finsler Manifolds,” Kyoto Journal of Mathematics, Vol. 48, No. 4, 2008, pp. 857-893.

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.