Quasi contact metric manifolds with Killing characteristic vector fields
Bull. Korean Math. Soc.
Published online July 16, 2020
Jihong Bae, Yeongjae Jang, JeongHyeong Park, and Kouei Sekugawa
Sungkyunkwan University, Niigata University
Abstract : An almost contact metric manifold is called a quasi contact metric manifold of the corresponding almost Hermitian cone as a quasi K\"ahler manifold which introduced by Y. Tashiro 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 : 53B20, 53C25
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