%0 Journal Article
%T On projective Riemann quadratic (PR-quadratic) Finsler metrics
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Sadeghzadeh, Nasrin
%D 2024
%\ 05/01/2024
%V 5
%N 1
%P 115-126
%! On projective Riemann quadratic (PR-quadratic) Finsler metrics
%K Ricci curvature
%K PR-quadratic Finsler metrics
%K SPR-quadratic
%K DW-metrics
%R 10.22098/jfga.2024.14815.1122
%X This paper focuses on Projective Riemann quadratic (PR-quadratic) Finsler metrics, which are a variant of the Finsler metric in Finsler geometry. The paper introduces a special class of PR-quadratic Finsler metrics, called SPR-quadratic Finsler metrics, which is closed under projective changes with respect to a fixed volume form on M. This class contains the class of Douglas-Weyl metrics and is a subset of the class of Weyl metrics. The paper shows that any SPR-quadratic Finsler metric has a scalar flag curvature and a PR-quadratic Finsler metric has a scalar curvature if and only if it is of SPR-quadratic type. The results presented in this paper contribute to a deeper understanding of the behavior of PR-quadratic Finsler metrics and provide insights into the geometric properties of these metrics.
%U https://jfga.uma.ac.ir/article_2896_3133ebb8c94a17643f2343fc8687925c.pdf