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Concircular π-vector fields and special Finsler spaces

Advances in Pure Mathematics • 2013
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Publication Information
Authors Nabil L. Youssef ; A. Soleiman
Keywords Finsler Manifold; Cartan Connection; Concurrent π-Vector Field; Concircular π-Vector Field; Special Finsler Space, Recurrent Finsler Space
Journal Advances in Pure Mathematics
Publisher Not Available
Volume 3
Issue Not Available
Pages 282-291
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
The aim of the present paper is to investigate intrinsically the notion of a concircularπ-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.