On projective invariants of general spherically symmetric Finsler spaces in Rn
Küçük Resim Yok
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper we discuss projective invariants of general spherically symmetric Finsler metrics in R-n. We obtain the necessary and sufficient conditions for the metrics to be projectively Ricci flat, Weyl and W-quadratic types. In particular, we use the spray theory to give a short proof of the well-known theorem, that is, Finsler manifold is of scalar flag curvature if and only if F is Weyl metric . Therefore, considering the technique of the proof, we obtain a necessary and sufficient condition for the metrics of scalar flag curvature to be Weyl metric. Also, under a certain condition, we prove that projectively Ricci flat general spherically symmetric metrics coincide with the Douglas type metric.(c) 2022 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
General Spherically Symmetric, Finsler Metrics, Projective Ricci Curvature, Weyl Metric, W-Quadratic, Metrics, Curvature
Kaynak
Differential Geometry and Its Applications
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
82
