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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