On Einstein Finsler warped product metrics

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.

2 aDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.

3 Department of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali, Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, Turkey.

Abstract

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.

Keywords