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Dr. Salah Gomaa Ahmed Ali Elgendi :: Publications: |
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| Title: | The geometry of Finsler spaces of Hp-scalar curvature |
| Authors: | Amr Solieman & Salah Elgendi |
| Year: | 2020 |
| Keywords: | Berwald connection; Hp-scalar curvature; Hp-constant curvature; scalar curvature; constant curvature; projection operator. |
| Journal: | Differential Geometry - Dynamical Systems |
| Volume: | 22 |
| Issue: | Not Available |
| Pages: | 254-268 |
| Publisher: | Geometry Balkan Press 2020 |
| Local/International: | International |
| Paper Link: | |
| Full paper | Salah Gomaa Ahmed Ali Elgendi_Amr Soliman & Salah Elgendi __ The geometry of Hp-Finsler spaces.pdf |
| Supplementary materials | Not Available |
| Abstract: |
The aim of the present paper is to provide an intrinsic investigation of special Finsler spaces of Hp-scalar curvature and of Hp - constant curvature. Characterizations of such spaces are given. Sufficient condition for Finsler space of Hp-scalar curvature to be of perpendicular scalar curvature is investigated. Necessary and sufficient condition under which a Finsler space of scalar curvature turns into a Finsler space of Hp -scalar curvature is shown. Further, certain conditions under which a Finsler manifolds of H p-scalar curvature and of scalar curvature reduce to a Finsler space of Hp-constant curvature are obtained. Finally, various examples are studied and constructed. |
