پیوندهای مفید
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 326 |
| تعداد مقالات | 2,803 |
| تعداد مشاهده مقاله | 4,228,947 |
| تعداد دریافت فایل اصل مقاله | 2,881,966 |
On projective Riemann quadratic (PR-quadratic) Finsler metrics | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 5، شماره 1، مرداد 2024، صفحه 115-126 اصل مقاله (268.99 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 | ||
| Projective Ricci curvature؛ PR-quadratic Finsler metrics؛ SPR-quadratic؛ DW-metrics | ||
|
آمار تعداد مشاهده مقاله: 50 تعداد دریافت فایل اصل مقاله: 60 |
||