On ?-Conformally and ?-Pseudo Projectively Flat Lorentzian Sasakian Manifolds with Tanaka-Webster Connection
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Chiang Mai Univ, Fac Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, the Tanaka-Webster connection on a Lorentzian Sasakian manifold is defined and the notions xi-quasi conformally and xi-pseudo projectively flat structures on a Lorentzian Sasakian manifold are introduced. After that, it is proved that if any Lorentzian Sasakian manifold with Tanaka-Webster connection is an eta- Einstein manifold, then the Thnaka-Webster connection (del) over cap is xi-conformally flat. Furthermore, we give some structure theorems on Lorentzian Sasakian manifold with respect to the Tanaka-Webster connection.
Açıklama
Anahtar Kelimeler
Lorentzian Sasakian manifold, Tanaka-Webster connection, xi-conformally flat, xi-pseudo projectively flat
Kaynak
Thai Journal Of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
20
Sayı
1
