Certain curvature conditions on generalized sasakian space-forms

被引：6

作者：

De, Uday Chand ^{[1
]}

Yildiz, Ahmet ^{[2
]}

机构：

[1] Univ Calcutta, Dept Pure Math, Kolkata 700019, W Bengal, India

[2] Inonu Univ, Fac Educ, Dept Math, TR-44280 Malatya, Turkey

来源：

QUAESTIONES MATHEMATICAE | 2015年 / 38卷 / 04期

关键词：

Generalized Sasakian space-forms; the projective curvature tensor; the con-circular curvature tensor;

D O I：

10.2989/16073606.2014.981687

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of the present paper is to study certain curvature conditions on generalized Sasakian space-forms. We classify generalized Sasakian space-forms which satisfy P P=0, P Z=0, Z P=0, Z Z=0, where P is the projective curvature tensor and Z is the concircular curvature tensor.

引用

页码：495 / 504

页数：10

共 12 条

[1] Generalized Sasakian-space-forms [J].

Alegre, P ;

Blair, DE ;

Carriazo, A .

ISRAEL JOURNAL OF MATHEMATICS, 2004, 141 (1) :157-183

[2] Structures on generalized Sasakian-space-forms [J].

Alegre, Pablo ;

Carriazo, Alfonso .

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2008, 26 (06) :656-666

[3]

[Anonymous], 1997, COLLOQ MATH-WARSAW, DOI DOI 10.4064/CM-74-2-253-260

[4]

Belkhelfa M., 2005, Soochow Journal of Mathematics, V31, P611

[5]

Blair, 2002, RIEMANNIAN GEOMETRY

[6] ON THE PROJECTIVE CURVATURE TENSOR OF GENERALIZED SASAKIAN-SPACE-FORMS [J].

De, U. C. ;

Sarkar, Avijit .

QUAESTIONES MATHEMATICAE, 2010, 33 (02) :245-252

[7]

De U. C., INT J MATH IN PRESS

[8]

Deszcz R., 1992, B SOC MATH BELG A, V44, P1

[9]

Kim UK, 2006, NOTE MAT, V26, P55

[10]

SZABO ZI, 1982, J DIFFER GEOM, V17, P531

← 1 2 →