A remark on quasi contact metric manifolds

JeongHyeong Park; Kouei Sekigawa; Wonmin Shin

doi:10.4134/BKMS.2015.52.3.1027

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Bull. Korean Math. Soc. 2015; 52(3): 1027-1034

Printed May 31, 2015

https://doi.org/10.4134/BKMS.2015.52.3.1027

A remark on quasi contact metric manifolds

JeongHyeong Park, Kouei Sekigawa, and Wonmin Shin

Sungkyunkwan University, Niigata University, Sungkyunkwan University

Abstract

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Abstract

As a natural generalization of the contact metric manifolds, Kim, Park and Sekigawa discussed quasi contact metric manifolds based on the geometry of the corresponding quasi K\"ahler cones. In this paper, we show that a quasi contact metric manifold is a contact manifold.

Keywords: contact metric manifold, quasi contact metric manifold

MSC numbers: 53C25, 53D10