[HTML][HTML] Contact metric manifolds whose characteristic vector field is a harmonic vector field

D Perrone - Differential Geometry and its Applications, 2004 - Elsevier
In this paper, contact metric manifolds whose characteristic vector field ξ is a harmonic vector
field are called H-contact manifolds. We show that a (2n+ 1)-dimensional contact metric …

[HTML][HTML] Contact pseudo-metric manifolds

G Calvaruso, D Perrone - Differential Geometry and its Applications, 2010 - Elsevier
We introduce a systematic study of contact structures with pseudo-Riemannian associated
metrics, emphasizing analogies and differences with respect to the Riemannian case. In …

Geometry of -paracontact metric manifolds

G Calvaruso, D Perrone - arXiv preprint arXiv:1307.7662, 2013 - arxiv.org
We introduce and study $ H $-paracontact metric manifolds, that is, paracontact metric
manifolds whose Reeb vector field $\xi $ is harmonic. We prove that they are characterized …

Contact semi-Riemannian structures in CR Geometry: some aspects

D Perrone - Axioms, 2019 - mdpi.com
There is one-to-one correspondence between contact semi-Riemannian structures (η, ξ, φ,
g) and non-degenerate almost CR structures (H, ϑ, J). In general, a non-degenerate almost …

The harmonicity of the Reeb vector field on contact metric 3-manifolds

T Koufogiorgos, M Markellos, V Papantoniou - Pacific Journal of …, 2008 - msp.org
A contact metric manifold whose characteristic vector field is a harmonic vector field is called
an H-contact metric manifold. We introduce the notion of (κ, μ, ν)-contact metric manifolds in …

A Study of Three-Dimensional Paracontact -SPACES

IK Erken, C Murathan - arXiv preprint arXiv:1305.1511, 2013 - arxiv.org
This paper is a study of three-dimensional paracontact metric (\k {appa},{\mu},{\nu})-
manifolds. Three dimensional paracontact metric manifolds whose Reeb vector field {\xi} is …

HARMONIC SECTIONS OF TANGENT BUNDLES EQUIPPED WITH RIEMANNIAN g-NATURAL METRICS

MTK Abbassi, G Calvaruso… - The Quarterly Journal of …, 2011 - academic.oup.com
Let (M, g) be a Riemannian manifold. When M is compact and the tangent bundle TM is
equipped with the Sasaki metric gs, the only vector fields that define harmonic maps from (M …

[HTML][HTML] H-contact semi-Riemannian manifolds

G Calvaruso, D Perrone - Journal of Geometry and Physics, 2013 - Elsevier
We characterize H-contact semi-Riemannian manifolds (ie, contact semi-Riemannian
manifolds whose Reeb vector field ξ is harmonic) by the condition that ξ is a Ricci …

[HTML][HTML] Harmonicity of unit vector fields with respect to Riemannian g-natural metrics

MTK Abbassi, G Calvaruso, D Perrone - Differential Geometry and its …, 2009 - Elsevier
Let (M, g) be a compact Riemannian manifold and T1M its unit tangent sphere bundle. Unit
vector fields defining harmonic maps from (M, g) to (T1M, g˜ s), g˜ s being the Sasaki metric …

Almost contact metric manifolds whose Reeb vector field is a harmonic section

D Perrone - Acta Mathematica Hungarica, 2013 - Springer
We investigate almost contact metric manifolds whose Reeb vector field is a harmonic unit
vector field, equivalently a harmonic section. We first consider an arbitrary Riemannian …