Staff Members - Benha University
The geometry of Finsler spaces of Hp-scalar curvature
Differential Geometry - Dynamical Systems • 2020
Publication Information
Authors
Amr Solieman & Salah Elgendi
Keywords
Berwald connection; Hp-scalar curvature; Hp-constant curvature; scalar
curvature; constant curvature; projection operator.
Journal
Differential Geometry - Dynamical Systems
Publisher
Geometry Balkan Press 2020
Volume
22
Issue
Not Available
Pages
254-268
publication.type
International
Paper Link
Open Link
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.
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.