Contact metric structures on S3

Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras

We study almost contact metric structures on 5-dimensional nilpotent Lie algebras and investigate the class of left invariant almost contact metric structures on corresponding Lie groups. We determine certain classes that a five-dimensional nilpotent Lie group can not be equipped with.

ON INTERRELATIONSHIPS BETWEEN FUZZY METRIC STRUCTURES

Considering the increasing interest in fuzzy theory and possible applications,the concept of fuzzy metric space concept has been introduced by severalauthors from different perspectives. This paper interprets the theory in termsof metrics evaluated on fuzzy numbers and defines a strong Hausdorff topology.We study interrelationships between this theory and other fuzzy theories suchas intuitionis...

Contact Structures on Elliptic

We show that an oriented elliptic 3-manifold admits a universally tight positive contact structure iff the corresponding group of deck transformations on S preserves a standard contact structure pointwise. We also relate universally tight contact structures on 3-manifolds covered by S to the exceptional isomorphism SO(4) = (SU(2) × SU(2))/±1. The main tool used is equivariant framings of 3-mani...

Loop Structures on the Homotopy Type of S3 Revisited

On Contact Metric R-Harmonic Manifolds

In this paper we consider contact metric R-harmonic manifolds M with ξ belonging to (κ, μ)-nullity distribution. In this context we have κ ≤ 1. If κ < 1, then M is either locally isometric to the product E × S(4), or locally isometric to E(2) (the group of the rigid motions of the Euclidean 2-space). If κ = 1, then M is an Einstein-Sasakian manifold. Mathematics Subject Classification: 53C05, 5...