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

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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تاریخ نمایه سازی: 18 آبان 1402

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= u۱ and s= v۱/α‎. ‎We show that every projectively flat Finsler warped product metrics with isotropic E-curvature is a Randers metric‎.

Keywords:

Finsler ‎warped product metrics‎ , ‎locally projectively flat‎ , ‎isotropic E-curvature

Authors

Mehran Gabrani

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

Esra Sengelen Sevim

Department of Mathematics, Istanbul Bilgi University, ۳۴۰۶۰, Eski Silahtaraga Elektrik Santrali, Kazim Karabekir Cad. No: ۲/۱۳ Eyupsultan, Istanbul, Turkey. E-mail: esra.sengelen@bilgi.edu.tr