A REMARK ON QUASI CONTACT METRIC MANIFOLDS

Park, JeongHyeong; Sekigawa, Kouei; Shin, Wonmin

doi:10.4134/BKMS.2015.52.3.1027

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A REMARK ON QUASI CONTACT METRIC MANIFOLDS

Journal title : Bulletin of the Korean Mathematical Society
Volume 52, Issue 3, 2015, pp.1027-1034
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2015.52.3.1027

Title & Authors

A REMARK ON QUASI CONTACT METRIC MANIFOLDS
Park, JeongHyeong; Sekigawa, Kouei; Shin, Wonmin;

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{\ddot{a}}hler$}$ cones. In this paper, we show that a quasi contact metric manifold is a contact manifold.

Keywords

contact metric manifold;quasi contact metric manifold;

Language

English

Cited by

1time(s) in KSCD

Curvature identities on contact metric manifolds and their applications,;;;

Advanced Studies in Contemporary Mathematics, 2015. vol.25. 3, pp.423-435

References

D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Second edition, Progress in Math. 203, Birkhauser, Boston, 2002.

S. Dragomir and D. Perrone, Levi harmonic maps of contact Riemannian manifolds, J. Geom. Anal. 24 (2014), no. 3, 1233-1275.

A. Gray, Curvature identities for Hermitian and almost Hermitian manifolds, Tohoku Math. J. 28 (1976), no. 4, 601-612.

A. Gray and L. Hervella, The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl. 123 (1980), 35-58.

J. E. Jin, J. H. Park, and K. Sekigawa, Notes on some classes of 3-dimensional contact metric manifolds, Balkan J. Geom. Appl. 17 (2012), no. 2, 54-65.

J. H. Kim, J. H. Park, and K. Sekigawa, A generalization of contact metric manifolds, Balkan J. Geom. Appl. 19 (2014), no. 2, 94-105.

Z. Olszak, On contact metric manifold, Tohoku Math. J. 31 (1979), no. 2, 247-253.

D. Perrone, Remarks on Levi harmonicity of contact semi-Riemannian manifolds, J. Korean Math. Soc. 51 (2014), no. 5, 881-895.

Y. Tashiro, On contact structure of hypersurfaces in complex manifolds. I, II, Tohoku Math. J. 15 (1963), 62-78; 167-175.