Publications de l'Institut Mathématique, Nouvelle Série Vol. 94(108), pp. 219–228 (2013) 

A NOTE ON CURVATURELIKE INVARIANTS OF SOME CONNECTIONS ON LOCALLY DECOMPOSABLE SPACESNevena PusicDepartment of Mathematics and Computer Science, Faculty of Science, University of Novi Sad, Novi Sad, SerbiaAbstract: We consider an $n$dimensional locally product space with $p$ and $q$ dimensional components $(p+q=n)$ with parallel structure tensor, what means that such a space is locally decomposable. If we introduce a conformal transformation on such a space, it will have an invariant curvaturetype tensor, the socalled product conformal curvature tensor ($PC$tensor). Here we consider two connections, $(F,g)$holomorphically semisymmetric one and $F$holomorphically semisymmetric one, both with gradient generators. They both have curvaturelike invariants and they are both equal to $PC$tensor. Keywords: locally product space, conformal transformation, $PC$ curvature tensor, class of holomorphically semisymmetric connections, Kählertype identities Classification (MSC2000): 53A30; 53A40, 53B15 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.
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