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http://dx.doi.org/10.4134/BKMS.b190981

QUASI CONTACT METRIC MANIFOLDS WITH KILLING CHARACTERISTIC VECTOR FIELDS  

Bae, Jihong (Department of Mathematics Sungkyunkwan University)
Jang, Yeongjae (Department of Mathematics Sungkyunkwan University)
Park, JeongHyeong (Department of Mathematics Sungkyunkwan University)
Sekigawa, Kouei (Department of Mathematics Niigata University)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.5, 2020 , pp. 1299-1306 More about this Journal
Abstract
An almost contact metric manifold is called a quasi contact metric manifold if the corresponding almost Hermitian cone is a quasi Kähler manifold, which was introduced by Y. Tashiro [9] 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;
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Times Cited By KSCI : 3  (Citation Analysis)
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