Generalized Quasi-Einstein Metrics and Contact Geometry
Küçük Resim Yok
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kyungpook Natl Univ, Dept Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of this paper is to characterize K-contact and Sasakian manifolds whose metrics are generalized quasi-Einstein metric. It is proven that if the metric of a K-contact manifold is generalized quasi-Einstein metric, then the manifold is of constant scalar curvature and in the case of a Sasakian manifold the metric becomes Einstein under certain restriction on the potential function. Several corollaries have been provided. Finally, we consider Sasakian 3-manifold whose metric is generalized quasi-Einstein metric.
Açıklama
Anahtar Kelimeler
GQE metrics, Almost contact manifolds, Contact manifolds, K-contact manifolds, Sasakian manifolds
Kaynak
Kyungpook Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
62
Sayı
3
