Concircular π-vector fields and special Finsler spaces
Advances in Pure Mathematics • 2013
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.
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