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On weakly cyclic Z symmetric manifolds
U C DE, C A MANTICA, Y J SUH
Published in Kluwer Academic Publishers
2015
Volume: 146
   
Issue: 1
Pages: 153 - 167
Abstract
The object of the present paper is to study weakly cyclic Z symmetric manifolds. Some geometric properties have been studied. We obtain a sufficient condition for a weakly cyclic Z symmetric manifold to be a quasi Einstein manifold. Next we consider conformally flat weakly cyclic Z symmetric manifolds. Then we study Einstein (WCZS)n (n > 2). Also we study decomposable (WCZS)n (n > 2). We prove the equivalency of semisymmetry and Weyl-semisymmetry in a (WCZS)n (n > 2). Finally, we give an example of a (WCZS)4. © 2014, Akadémiai Kiadó, Budapest, Hungary.
About the journal
JournalActa Mathematica Hungarica
PublisherKluwer Academic Publishers
ISSN0236-5294