On compact L-reducible Finsler manifolds
عنوان مقاله: On compact L-reducible Finsler manifolds
شناسه ملی مقاله: JR_JFGA-2-1_005
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_JFGA-2-1_005
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Asmaa Ghasemi - Department of Mathematics, Faculty of Science, University of Hormozgan Bandar-Abbas, Iran E-mail: ghasemi.asmaa@gmail.com
خلاصه مقاله:
Asmaa Ghasemi - Department of Mathematics, Faculty of Science, University of Hormozgan Bandar-Abbas, Iran E-mail: ghasemi.asmaa@gmail.com
The class of L-reducible Finsler metric was introduced by Matsumoto as a generalization of Randers metrics. One open problems in Finsler Geometry is to find a L-reducible metric which is not of Randers-type. Let (M,F) be a compact ۳-dimensional L-reducible metric. Suppose that F has constant relatively isotropic mean Landsberg curvature. Then we show that F reduces to a Randers metric.
کلمات کلیدی: L-reducible metric, Randers metric, Landsberg metric
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1814753/