On nearly paraK\"{a}hler manifolds
Bull. Korean Math. Soc. 2018 Vol. 55, No. 3, 871-879
Published online March 8, 2018
Printed May 31, 2018
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
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