ON (?)-para sasakian 3-manifolds

Küçük Resim Yok

Tarih

2012

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper we study the 3-dimensional (?)-para Sasakian manifolds. We obtain a necessary and sufficient condition for an (?)-para Sasakian 3- manifold to be an indefinite space form. We show that a Ricci-semi-symmetric (?)-para Sasakian 3-manifold is an indefinite space form. We investigate the necessary and sufficient condition for an (?)-para Sasakian 3-manifold to be locally '-symmetric. It is proved that in an (?)-para Sasakian 3-manifold with ?-parallel Ricci tensor the scalar curvature is constant. It is also shown that every (?)-para Sasakian 3-manifolds is pseudosymmetric in the sense of R. Deszcz. © 2012 Academic Publications, Ltd.

Açıklama

Anahtar Kelimeler

?-parallel Ricci tensor, (?)-para Sasakian 3-manifold, Locally'-symmetric space, Pseudosymmetric space, Ricci-semi-symmetric space

Kaynak

International Journal of Pure and Applied Mathematics

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

77

Sayı

4

Künye