| publication name | Concircular π-vector fields and special Finsler spaces |
|---|---|
| Authors | Nabil L. Youssef ; A. Soleiman |
| year | 2013 |
| keywords | Finsler Manifold; Cartan Connection; Concurrent π-Vector Field; Concircular π-Vector Field; Special Finsler Space, Recurrent Finsler Space |
| journal | Advances in Pure Mathematics |
| volume | 3 |
| issue | Not Available |
| pages | 282-291 |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| 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.