Pseudosymmetric and Weyl-pseudosymmetric $(\kappa , \mu )$-contact metric manifolds

N. Malekzadeh, E. Abedi, and U.C. De

Address:
N. Malekzadeh and E. Abedi, Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 53751 71379, I. R. Iran
U.C. De, Department of Pure Mathematical, University of Calcutta 35, B. C. Road, Kolkata-700019, India

E-mail:
n.malekzadeh@azaruniv.edu
esabedi@azaruniv.ac.ir
uc_de@yahoo.com

Abstract: In this paper we classify pseudosymmetric and Ricci-pseudosymmetric $(\kappa , \mu )$-contact metric manifolds in the sense of Deszcz. Next we characterize Weyl-pseudosymmetric $(\kappa , \mu )$-contact metric manifolds.

AMSclassification: primary 53D10; secondary 53C35.

Keywords: pseudosymmetric, Ricci-pseudosymmetric, Weyl-pseudosymmetric, $(\kappa , \mu )$-manifolds.

DOI: 10.5817/AM2016-1-1