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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.
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참고문헌 (10)
참고문헌 신청
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds / Birkhauser Boston, Inc
Y. D. Chai / 2016 / Notes on quasi contact metric manifolds / An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N. S. ) 62(2):349~359
전선향 / 2018 / Notes on minimal unit Killing vector fields / 대한수학회보 55(5):1339~1350
Alfred Gray / 1980 / The sixteen classes of almost Hermitian manifolds and their linear invariants / Annali di Matematica Pura ed Applicata 123(1):35~58
J. H. Kim / 2014 / A generalization of contact metric manifolds / Balkan J. Geom. Appl 19(2):94~105
Y. D. Chai / 2016 / Notes on quasi contact metric manifolds / An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N. S. ) 62(2):349~359
전선향 / 2018 / Notes on minimal unit Killing vector fields / 대한수학회보 55(5):1339~1350
Alfred Gray / 1980 / The sixteen classes of almost Hermitian manifolds and their linear invariants / Annali di Matematica Pura ed Applicata 123(1):35~58
J. H. Kim / 2014 / A generalization of contact metric manifolds / Balkan J. Geom. Appl 19(2):94~105
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