On generalized recurrent Riemannian manifolds

被引：13

作者：

Arslan, K. ^{[1
]}

De, U. C. ^{[2
]}

Murathan, C. ^{[1
]}

Yildiz, A. ^{[3
]}

机构：

[1] Uludag Univ, Dept Math, TR-16059 Bursa, Turkey

[2] Kalyani Univ, Dept Math, Kalyani, W Bengal, India

[3] Dumlupmar Univ, Dept Math, Kutahya, Turkey

来源：

ACTA MATHEMATICA HUNGARICA | 2009年 / 123卷 / 1-2期

关键词：

generalized recurrent manifold; concirculary recurent manifold; quasi-Einstein manifold; Ricci-semisymmetry; CLASSIFICATION;

D O I：

10.1007/s10474-008-8049-y

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 a type of Riemannian manifolds called generalized recurrent manifolds. We have constructed two concrete examples of such a manifold whose scalar curvature is non-zero non-constant. Some other properties have been considered. Among others it is shown that on a generalized recurrent manifold with constant scalar curvature, Weyl-semisymmetry and semisymmetry are equivalent. Sufficient condition for a generalized recurrent manifold to be a special quasi Einstein manifold is obtained.

引用

页码：27 / 39

页数：13

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