| publication name | 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 | http://www.mathem.pub.ro/dgds/v22/D22.htm |
| Full paper | download |
| 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.