Einstein like (?)-para Sasakian manifolds

Küçük Resim Yok

Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Academic Publication Council

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Einstein like (epsilon)-para Sasakian manifolds are introduced. For an (epsilon)-para Sasakian manifold to be Einstein like, a necessary and sufficient condition in terms of its curvature tensor is obtained. The scalar curvature of an Einstein like (epsilon)-para Sasakian manifold is obtained and it is shown that the scalar curvature in this case must satisfy certain differential equation. A necessary and sufficient condition for an (epsilon)-almost paracontact metric hypersurface of an indefinite locally Riemannian product manifold to be (epsilon)-para Sasakian is obtained and it is proved that the (epsilon)-para Sasakian hypersurface of an indefinite locally Riemannian product manifold of almost constant curvature is always Einstein like.

Açıklama

Anahtar Kelimeler

Einstein like (epsilon)-para Sasakian manifold, indefinite locally Riemannian product manifold

Kaynak

Kuwait Journal of Science

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

40

Sayı

2

Künye