A classification of 3-dimensional contact metric manifolds with Qφ= φQ

DE Blair, T Koufogiorgos, R Sharma - Kodai Mathematical Journal, 1990 - jstage.jst.go.jp
The assumption that (M2m+ 1, φ, ξ, η, g) is a contact metric manifold is very weak, since the
set of metrics associated to the contact form η is huge. Even if the structure is^-Einstein we …

On contact metric manifolds

Z Olszak - Tohoku Mathematical Journal, Second Series, 1979 - jstage.jst.go.jp
1. Introduction. Blair has proven ([1]) that there are no contact metric manifolds of vanishing
curvature and of dimension> _ 5. Generalizing this result we prove in the present paper that …

[引用][C] On a type of contact manifolds

C Baikoussis, T Koufogiorgos - Journal of Geometry, 1993 - Springer
In this paper we consider contact metric manifolds M2m+ l (cp, rL~,, g) with characteristic
vector field belonging to the k-nullity distribution. Generalizing a theorem of Tanno [12] …

On the existence of a new class of contact metric manifolds

T Koufogiorgos, C Tsichlias - Canadian Mathematical Bulletin, 2000 - cambridge.org
On the Existence of a New Class of Contact Metric Manifolds Page 1 Canad. Math. Bull. Vol.
43 (4), 2000 pp. 440–447 On the Existence of a New Class of Contact Metric Manifolds Themis …

A full classification of contact metric -spaces

E Boeckx - Illinois Journal of Mathematics, 2000 - projecteuclid.org
We show that a non-Sasakian contact metric manifold whose characteristic vector field
belongs to the $(k,\mu) $-nullity distribution is completely determined locally by its …

Non-existence of flat contact metric structures

DE Blair - Contact Manifolds in Riemannian Geometry, 2006 - Springer
We have seen that for a K-contact manifold the sectional curvatures of plane sections
containing the characteristic vector {are equal to i. In this section we shall show that every …

On the curvature of contact metric manifolds

R Sharma - Journal of Geometry, 1995 - Springer
Some results on Ricci-symmetric contact metric manifolds are obtained. Second order
parallel tensors and vector fields keeping curvature tensor invariant are characterized on a …

[PDF][PDF] On the concircular curvature tensor of a contact metric manifold

DE Blair, JS Kim, M TRIPATHI - Journal of the Korean …, 2005 - researchgate.net
oN THE coNcRoULAR cURvATURE TENsoR Page 1 J. Korean Math. Soc. 42 (2005), No. 5,
pp. 883–892 oN THE coNcRoULAR cURvATURE TENsoR OF A CONTACT METRIC …

[PDF][PDF] Normal almost contact metric manifolds of dimension three

Z Olszak - Annales Polonici Mathematici, 1986 - infona.pl
One of the important classes of almost contact metric (shortly acm) manifolds is the class
consisting of those which are normal. However, the curvature nature of such manifolds is not …

Normality of complex contact manifolds

B Korkmaz - The Rocky Mountain Journal of Mathematics, 2000 - JSTOR
Complex contact metric manifolds are studied. Normality is defined for these manifolds and
equivalent conditions are given in terms of▽ G and▽ H. GH-sectional curvature and H …