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Sadeghzadeh, Nasrin. (1403). On projective Riemann quadratic (PR-quadratic) Finsler metrics. سامانه مدیریت نشریات علمی, 5(1), 115-126. doi: 10.22098/jfga.2024.14815.1122
Nasrin Sadeghzadeh. "On projective Riemann quadratic (PR-quadratic) Finsler metrics". سامانه مدیریت نشریات علمی, 5, 1, 1403, 115-126. doi: 10.22098/jfga.2024.14815.1122
Sadeghzadeh, Nasrin. (1403). 'On projective Riemann quadratic (PR-quadratic) Finsler metrics', سامانه مدیریت نشریات علمی, 5(1), pp. 115-126. doi: 10.22098/jfga.2024.14815.1122
Sadeghzadeh, Nasrin. On projective Riemann quadratic (PR-quadratic) Finsler metrics. سامانه مدیریت نشریات علمی, 1403; 5(1): 115-126. doi: 10.22098/jfga.2024.14815.1122

On projective Riemann quadratic (PR-quadratic) Finsler metrics

Journal of Finsler Geometry and its Applications
دوره 5، شماره 1، 2024، صفحه 115-126    اصل مقاله (324.97 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2024.14815.1122
نویسنده
Nasrin Sadeghzadeh*
Department of Mathematics, Faculty of Science, University of Qom, Qom. Iran
چکیده
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.
کلیدواژه‌ها
Ricci curvature؛ PR-quadratic Finsler metrics؛ SPR-quadratic؛ DW-metrics
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