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Jalili, Samaneh, Rezaei, Bahman, Gabrani, Mehran. (1404). ‎On projectively PR-flat Douglas sprays. سامانه مدیریت نشریات علمی, 6(1), 65-75. doi: 10.22098/jfga.2025.16385.1143
Samaneh Jalili; Bahman Rezaei; Mehran Gabrani. "‎On projectively PR-flat Douglas sprays". سامانه مدیریت نشریات علمی, 6, 1, 1404, 65-75. doi: 10.22098/jfga.2025.16385.1143
Jalili, Samaneh, Rezaei, Bahman, Gabrani, Mehran. (1404). '‎On projectively PR-flat Douglas sprays', سامانه مدیریت نشریات علمی, 6(1), pp. 65-75. doi: 10.22098/jfga.2025.16385.1143
Jalili, Samaneh, Rezaei, Bahman, Gabrani, Mehran. ‎On projectively PR-flat Douglas sprays. سامانه مدیریت نشریات علمی, 1404; 6(1): 65-75. doi: 10.22098/jfga.2025.16385.1143

‎On projectively PR-flat Douglas sprays

Journal of Finsler Geometry and its Applications
دوره 6، شماره 1، مهر 2025، صفحه 65-75    اصل مقاله (313.03 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.16385.1143
نویسندگان
Samaneh Jalili؛ Bahman Rezaei* ؛ Mehran Gabrani
Department of mathematics, Urmia University, Iran
چکیده
Deformation of every spray into a projective spray can be done using a volume form on a manifold. The Riemann curvature of a projective spray is called the projective Riemmann curvature. In this paper, we present a global rigidity result for projectively PR-flat sprays that have vanishing Douglas curvature. Then we study and characterize projectively PR-flat Randers metrics of Douglas curvature‎.
کلیدواژه‌ها
Sprays؛ projective Riemann curvature؛ Douglas ‎curvature
مراجع
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