On projectively flat Finsler warped product metrics with isotropic E-curvature

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. Email: m.gabrani@urmia.ac.ir

2 Department of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali, Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, Turkey. E-mail: esra.sengelen@bilgi.edu.tr

Abstract

‎In this paper‎, ‎we study a special class of Finsler metrics F= α∅(r‎, ‎s) called warped product metrics where α is a Riemannian metric‎, ‎r= u1 and s= v1/α‎. ‎We show that every projectively flat Finsler warped product metrics with isotropic E-curvature is a Randers metric‎.

Keywords

Journal of Finsler Geometry and its Applications
Volume 1, Issue 2
December 2020
Pages 54-62

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