TY - JOUR ID - 961 TI - On a class of locally projectively flat Finsler metrics JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Mo, X.H. AU - Zhu, H.M. AD - Key Laboratory of Pure and Applied Mathematics‎, ‎School of Mathematical Sciences‎, ‎Peking University‎, ‎Beijing 100871‎, ‎China. AD - College of Mathematics and Information Science‎, ‎Henan Normal University‎, ‎Xinxiang‎, ‎453007‎, ‎China. Y1 - 2017 PY - 2017 VL - 43 IS - 3 SP - 735 EP - 746 KW - Finsler metric‎ KW - ‎locally projectively flat‎ KW - ‎flag curvature‎ KW - ‎orthogonally invariant‎ DO - N2 - ‎In this paper we study Finsler metrics with orthogonal invariance‎. ‎We‎ ‎find a partial differential equation equivalent to these metrics being locally projectively flat‎. ‎Some applications are given‎. ‎In particular‎, ‎we give an explicit construction of a new locally projectively flat Finsler metric of vanishing flag curvature which differs from the Finsler metric given by Berwald in 1929. UR - http://bims.iranjournals.ir/article_961.html L1 - http://bims.iranjournals.ir/article_961_b53c921cf2d21caa37f214470b8f3e56.pdf ER -