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Dr. Amr Soleiman Mahmoud Hassan :: Publications: |
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| Title: | Concircular π-vector fields and special Finsler spaces
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| 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 | Amr Soleiman Mahmoud Hassan_Concir. Vec.Field (paper 4).pdf |
| 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. |
