Mehran Gabrani - Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
Bahman Rezaei - aDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
Esra Sengelen Sevim - Department of Mathematics, Istanbul Bilgi University, ۳۴۰۶۰, Eski Silahtaraga Elektrik Santrali, Kazim Karabekir Cad. No: ۲/۱۳ Eyupsultan, Istanbul, Turkey.

In this paper, we study the Finsler warped product metric which is Einstein. We find equation that characterize Einstein Finsler warped product metrics with vanishing Douglas curvature. Moreover, we obtain the differential equation that characterizes Einstein Finsler warped product metrics of locally projectively flat.

Finsler warped product metrics, Einstein metrics, Douglas curvature, locally projectively flat