Quasi contact metric manifolds with Killing characteristic vector fields
Bull. Korean Math. Soc. 2020 Vol. 57, No. 5, 1299-1306
https://doi.org/10.4134/BKMS.b190981
Published online September 30, 2020
Jihong Bae, Yeongjae Jang, JeongHyeong Park, Kouei Sekigawa
Sungkyunkwan University; Sungkyunkwan University; Sungkyunkwan University; Niigata University
Abstract : An almost contact metric manifold is called a quasi contact metric manifold if the corresponding almost Hermitian cone is a quasi K\"ahler manifold, which was introduced by Y. Tashiro {{\cite{T}}} as a contact O*-manifold. In this paper, we show that a quasi contact metric manifold with Killing characteristic vector field is a K-contact manifold. This provides an extension of the definition of K-contact manifold.
Keywords : Quasi contact metric manifold, Killing vector field
MSC numbers : Primary 53B20, 53C25
Supported by : This paper was supported by Sungkyun Research Fund, Sungkyunkwan University, 2018
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