On the Existence of a New Class of Contact Metric Manifolds
Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 440-447

Voir la notice de l'article provenant de la source Cambridge University Press

A new class of 3-dimensional contact metric manifolds is found. Moreover it is proved that there are no such manifolds in dimensions greater than 3.
DOI : 10.4153/CMB-2000-052-6
Mots-clés : 53C25, 53C15, contact metric manifolds, generalized (κ, μ)-contact metric manifolds
Koufogiorgos, Themis; Tsichlias, Charalambos. On the Existence of a New Class of Contact Metric Manifolds. Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 440-447. doi: 10.4153/CMB-2000-052-6
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[1] [1] Blair, D. E., Contact manifolds in Riemannian geometry. Lecture Notes inMath. 509, Springer-Verlag, Berlin, 1976. Google Scholar

[2] [2] Blair, D. E., Two remarks on contact metric structures. Tohôku Math. J. 29 (1977), 319–324. Google Scholar

[3] [3] Blair, D. E., Koufogiorgos, T. and Papantoniou, B., Contact metric manifolds satisfying a nullity condition. Israel J. Math. 91 (1995), 189–214. Google Scholar

[4] [4] Boeckx, E., A full classification of contact metric (κ, μ)-spaces. Preprint. Google Scholar

[5] [5] Gouli-Andreou, F. and Xenos, P. J., A class of contact metric 3-manifolds with ζ ∈ N(κ, μ) and κ, μ functions. Algebras Groups Geom., to appear. Google Scholar

[6] [6] Gouli-Andreou, F. and Xenos, P. J., Two classes of conformally flat contact metric 3-manifolds. J. Geom., to appear. Google Scholar

[7] [7] Sharma, R., On the curvature of contact metric manifolds. J.Geom. 53 (1995), 179–190. Google Scholar

[8] [8] Tanno, S., The topology of contact Riemannian manifolds. Illinois J. Math. 12 (1968), 700–717. Google Scholar

[9] [9] Tanno, S., Variational problems on contact Riemannian manifolds. Trans. Amer. Math. Soc. 314 (1989), 349–379. Google Scholar

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