On Landsberg Warped Product Metrics
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
B Verkin Inst Low Temperature Physics & Engineering Nas Ukraine
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we discuss a class of Finsler metrics which are called Finsler warped product metrics. These metrics have been studied by Chen-Shen-Zhao, 2018. Basically, we study the Berwald curvature of Finsler warped product metrics. Also, we characterize the Finsler warped product metrics of isotropic Berwald curvature, then we obtain that they are Randers metrics (Theorem 1.2). Moreover, we consider an important problem which is unicorn problem in Finsler geometry for the class of Finsler metrics. In fact, we get the answer of the crucial question of this study that whether or not such a Landsberg Finsler warped product metric is a Berwald metric (Theorem 1.3).
Açıklama
Anahtar Kelimeler
Finsler Warped Product Metric, Landsberg Metric, İsotropic Berwald Curvature, Finsler Metrics, Curvature, Spaces
Kaynak
Journal of Mathematical Physics Analysis Geometry
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
17
Sayı
4
