Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2018; 55(3): 871-879

Online first article March 8, 2018      Printed May 31, 2018

https://doi.org/10.4134/BKMS.b170344

Copyright © The Korean Mathematical Society.

On nearly paraK\"{a}hler manifolds

Aydin Gezer, Sibel Turanli

Ataturk University, Erzurum Technical University

Abstract

The purpose of the present paper is to study on nearly para\-K\"{a}hler manifolds. Firstly, to investigate some properties of the Ricci tensor and the Ricci* tensor of nearly paraK\"{a}hler manifolds. Secondly, to define a special metric connection with torsion on nearly paraK\"{a}hler manifolds and present its some properties.

Keywords: metric connection, nearly paraK\"{a}hler manifold, Ricci tensor

MSC numbers: Primary 53C55; Secondary 53C05