en تخصصي Special پژوهشي Research paper <div style="text-align: justify;">In this paper, we consider the Riemannian curvature of one of the most important metric in Finsler geometry called general (&alpha;, &beta;)- metrics, where &alpha; is a Riemannian metric and &beta; is 1-form. We give a complete classification of the metrics to be R-quadratic and Ricci-quadratic.</div> General (α, β)-metric, R-quadratic, Ricci-quadratic. 69 78 http://ijmsi.ir/browse.php?a_code=A-10-5605-1&slc_lang=en&sid=1 Mehran Gabrani m.gabrani@urmia.ac.ir 100319475328460011301 100319475328460011301 No Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran Bahman Rezaei b.rezaei@urmia.ac.ir 100319475328460011302 100319475328460011302 Yes Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran Esra Sengelen Sevim esra.sengelen@bilgi.edu.tr 100319475328460011303 100319475328460011303 No Department of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali, Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, Turkey