<article_id>JMAT_V2_N4_RP1</article_id>
<title>Remarks On Four-Dimensional Pseudosymmetric Kahlerian Manifolds</title>
<author>Beldjilali Gherici</author>
<author>Mohamed Belkhelfa</author>
<author>Hasni Abdelbasset</author>
<journal>Journal on Mathematics</journal>
<issn>2277-5137</issn>
<volume>2</volume>
<issue>4</issue>
<first_page>1</first_page>
<last_page>6</last_page>
<keywords>Four-dimensional Pseudosymmetric Kahlerian Manifolds, Ricci tensor</keywords>
<abstract>In the present paper, we prove that for a 4-dimensional properly pseudosymmetric Kählerian manifold M, the Ricci tensor vanishes on the set p Î {M/ f(p) 6≠ 0} where f is the structure fonction (i.e R(X,Y ) = f(XÙY).R) and for f > 0 the manifold is not compact. Various examples are discussed.</abstract>
<date>October - December 2013</date>
<copyright>Copyright &copy; 2013 i-manager publications. All rights reserved.</copyright>
<publisher>i-manager Publications</publisher>
<article_url>http://www.imanagerpublications.com/Article.aspx?ArticleId=2609</article_url>