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N. L. Youssef, S. H. Abed and A. Soleiman, “Concurrent π-Vector Fields and Eneregy β-Change,” International Journal of Geometric Methods in Modern Physics, Vol. 6, No. 6, 2009, pp. 1003-1031. doi:10.1142/S0219887809003904

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.