General spherically symmetric Finsler metrics with constant Ricci and flag curvature
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we investigate the flag curvature of a special class of Finsler metrics called general spherically symmetric Finsler metrics, which are defined by a Euclidean metric and two related 1-forms. We find equations to characterize the class of metrics with constant Ricci curvature (tensor) and constant flag curvature. Moreover, we study general spherically symmetric Finsler metrics with the vanishing non-Riemannian quantity chi-curvature. In particular, we construct some new projectively flat Finsler metrics of constant flag curvature. (C) 2021 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
General Spherically Symmetric, Finsler Metrics, Ricci Curvature, X-Curvature
Kaynak
Differential Geometry and Its Applications
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
76
