Certain infinitesimal transformation of normal contact metric manifold

Torseforming Vector fields in a 3-dimensional Contact Metric Manifold

The object of the present paper is to study torseforming vector field in a 3-dimensional contact metric manifold with Qφ = φQ. Here we prove that the torseforming vector field in a 3-dimensional contact metric manifold with Qφ = φQ is a concircular vector field. 2000 Mathematics Subject Classification: 53D15, 53C25.

Some Properties of Quarter-symmetric Non-metric Connection on an Almost Contact Metric Manifold

In the present paper, we have studied the properties of a quartersymmetric non-metric connection in an almost contact metric manifold.

On Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric

Let  be an n-dimensional Riemannian manifold, and  be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation  induces an infinitesimal homothetic transformation on .  Furthermore,  the correspondence   gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on  onto the Lie algebra of infinitesimal ...

A Bound for the Radius of a Tight Ball in a Contact Metric 3-manifold

We establish a bound for the radius of a tight ball in a, not necessarily closed, contact 3-manifold (M, ξ). The bound is calculated with respect to a Riemannian metric g compatible with an associated contact form α and an almost complex structure on ξ (see [2, 4]). We also consider a weaker form of compatibility and derive similar bounds in this context. In particular we give a Riemannian geom...

On Concircular Φ-Recurrent Κ-Contact Manifold Admitting Semisymmetric Metric Connection