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.