Bulletin of the
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Bull. Korean Math. Soc. 2020; 57(5): 1299-1306

Online first article July 16, 2020      Printed September 30, 2020

https://doi.org/10.4134/BKMS.b190981

Copyright © The Korean Mathematical Society.

Quasi contact metric manifolds with Killing characteristic vector fields

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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