On projectively flat Finsler warped product metrics with isotropic E-curvature
عنوان مقاله: On projectively flat Finsler warped product metrics with isotropic E-curvature
شناسه ملی مقاله: JR_JFGA-1-2_005
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_JFGA-1-2_005
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
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
خلاصه مقاله:
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
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.
کلمات کلیدی: Finsler warped product metrics, locally projectively flat, isotropic E-curvature
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1814765/