NOTES ON ALMOST KENMOTSU THREE-MANIFOLDS

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 3,  2014, pp.637-645
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.3.637
Title & Authors
NOTES ON ALMOST KENMOTSU THREE-MANIFOLDS
Cho, Jong Taek;

Abstract
We study 3-dimensional non-unimodular Lie groups with a left-invariant almost Kenmotsu structure.
Keywords
almost Kenmotsu 3-manifold;non-unimodular Lie group;conformally flat;
Language
English
Cited by
1.
CONFORMALLY FLAT NORMAL ALMOST CONTACT 3-MANIFOLDS,;

호남수학학술지, 2016. vol.38. 1, pp.59-69
1.
Conformally Flat Almost Kenmotsu 3-Manifolds, Mediterranean Journal of Mathematics, 2017, 14, 5
2.
CONFORMALLY FLAT NORMAL ALMOST CONTACT 3-MANIFOLDS, Honam Mathematical Journal, 2016, 38, 1, 59
References
1.
D.E. Blair, Riemannian geometry of contact and symplectic manifolds, Second edition, Progr. Math. 203, Birkhauser Boston, Inc., Boston, MA, 2010.

2.
D.E. Blair and H. Chen, A classification of 3-dimensional contact metric manifolds with $Q{\varphi}={\varphi}Q$, II, Bull. Inst. Math. Acad. Sinica, 20(4) (1992), 379-384.

3.
J.T. Cho, Contact 3-manifolds with the Reeb flow symmetry, Tohoku Math. J., to appear.

4.
J.T. Cho, Reeb flow symmetry on almost cosymplectic three-manifolds, preprint.

5.
J.T. Cho and M. Kimura, Reeb flow symmetry on almost contact three-manifolds, Diff. Geom. Appl. (2014), http://dx.doi.org/10.1016/j.difgeo.2014.05.002.

6.
J.T. Cho, Local symmetry on almost Kenmotsu three-manifolds, preprint.

7.
G. Dileo and A.M. Pastore, Almost Kenmotsu manifolds and local symmetry, Bull. Belg. Math. Soc. Simon Stevin, 14 (2007), 343-354.

8.
G. Dileo and A.M. Pastore, Almost Kenmotsu manifolds and nullity distributions, J. Geom. 93 (2009), 46-61.

9.
J. Inoguchi, Pseudo-symmetric Lie groups of dimension 3, Bull. Fac. Edu. Utsunomiya Univ. Sect. 2, 57 (2007), 1-5.

10.
J. Inoguchi, Minimal surfaces in 3-dimensional solvable Lie groups, Chinese Ann. Math. B. 24 (2003), 73-84.

11.
J. Inoguchi and Ji-Eun Lee, Slant curves in 3-dimensional almost contact metric geometry, preprint.

12.
K. Kenmotsu, A class of contact Riemannian Manifolds, Tohoku Math. J. 24 (1972), 93-103.

13.
T.W. Kim and H.K. Pak, Canonical foliations of certain classes of almost contact metric structures, Acta Math. Sinica, 21 (2005), 841-846.

14.
J. Milnor, Curvature of left invariant metrics on Lie groups, Adv. in Math. 21 (1976), 293-329.