Quasi contact metric manifolds with Killing characteristic vector fields
Bull. Korean Math. Soc. 2020 Vol. 57, No. 5, 1299-1306
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
Downloads: Full-text PDF   Full-text HTML


Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd