Yamabe solitons on three-dimensional normal almost paracontact metric manifolds
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The purpose of the paper is to study Yamabe solitons on three-dimensional para-Sasakian, paracosymplectic and para-Kenmotsu manifolds. Mainly, we prove that the following: If the semi-Riemannian metric of a three-dimensional para-Sasakian manifold is a Yamabe soliton, then it is of constant scalar curvature, and the flow vector field is Killing. In the next step, we prove that either the manifold has constant curvature - or is an infinitesimal automorphism of the paracontact metric structure on the manifold. If the semi-Riemannian metric of a three-dimensional paracosymplectic manifold is a Yamabe soliton, then it has constant scalar curvature. Furthermore either the manifold is eta-Einstein, or Ricci flat. If the semi-Riemannian metric on a three-dimensional para-Kenmotsu manifold is a Yamabe soliton, then the manifold is of constant sectional curvature -1. Furthermore, Yamabe soliton is expanding with lambda=-6. Finally, we construct examples to illustrate the results obtained in previous sections.
Açıklama
Anahtar Kelimeler
Para-Sasakian manifold, Paracosymplectic manifold, Para-Kenmotsu manifold, Yamabe soliton, Ricci soliton, Infinitesimal automorphism, Constant scalar curvature
Kaynak
Periodica Mathematica Hungarica
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
80
Sayı
2
