On the existence of a new class of semi-Riemannian manifolds

被引：19

作者：

Shaikh A.A. ^{[1
]}

Al-Solamy F.R. ^{[2
]}

Roy I. ^{[1
]}

机构：

[1] Department of Mathematics, University of Burdwan, Golapbag, Burdwan

[2] Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk

来源：

Mathematical Sciences | 2013年 / 7卷 / 1期

关键词：

Conformal; Conharmonic curvature tensor; Projective; Pseudo quasi-Einstein; Pseudosymmetric; Recurrent; Ricci-generalized pseudosymmetric; Weakly generalized recurrent;

D O I：

10.1186/2251-7456-7-46

中图分类号：

学科分类号：

摘要：

Abstract: The present paper deals with the existence of a new class of semi-Riemannian manifolds which are weakly generalized recurrent, pseudo quasi-Einstein and fulfill the condition R·R=Q(S,R). For this purpose, we presented a metric, computed its curvature properties, and finally checked various geometric structures arising out from the different curvatures by means of their covariant derivatives of first and second order. MCS: 53C15; 53C25; 53C35. © 2013, Shaikh et al.; licensee Springer.

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