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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.
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참고문헌 (10)
참고문헌 신청
A. Gray / 1976 / Curvature identities for Hermitian and almost Hermitian manifolds / Tohoku Math. J 28 (4) : 601 ~ 612
A. Gray / 1980 / The sixteen classes of almost Hermitian manifolds and their linear invariants / Ann. Mat. Pura Appl 123 : 35 ~ 58
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds, Second edition / Progress in Math 203
Domenico Perrone / 2014 / REMARKS ON LEVI HARMONICITY OF CONTACT SEMI-RIEMANNIAN MANIFOLDS / 대한수학회지 51 (5) : 881 ~ 895
J. E. Jin / 2012 / Notes on some classes of 3-dimensional contact metric manifolds / Balkan J. Geom. Appl 17 (2) : 54 ~ 65
A. Gray / 1980 / The sixteen classes of almost Hermitian manifolds and their linear invariants / Ann. Mat. Pura Appl 123 : 35 ~ 58
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds, Second edition / Progress in Math 203
Domenico Perrone / 2014 / REMARKS ON LEVI HARMONICITY OF CONTACT SEMI-RIEMANNIAN MANIFOLDS / 대한수학회지 51 (5) : 881 ~ 895
J. E. Jin / 2012 / Notes on some classes of 3-dimensional contact metric manifolds / Balkan J. Geom. Appl 17 (2) : 54 ~ 65
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