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 …

[HTML][HTML] Ricci solitons in three-dimensional paracontact geometry

G Calvaruso, A Perrone - Journal of Geometry and Physics, 2015 - Elsevier
We completely describe paracontact metric three-manifolds whose Reeb vector field
satisfies the Ricci soliton equation. While contact Riemannian (or Lorentzian) Ricci solitons …

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 …

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 …

Contact pseudo-metric manifolds of constant curvature and CR geometry

D Perrone - Results in Mathematics, 2014 - Springer
In this paper, we show that if an integrable contact pseudo-metric manifold of dimension 2
n+ 1, n≥ 2, has constant sectional curvature κ κ, then the structure is Sasakian and κ= ε= g …

A study of three-dimensional paracontact -spaces

İ Küpeli Erken, C Murathan - International Journal of Geometric …, 2017 - World Scientific
This paper is a study of three-dimensional paracontact metric (κ ̃, μ ̃, ν ̃)-manifolds. Three-
dimensional paracontact metric manifolds whose Reeb vector field ξ is harmonic are …

Curvature of K-contact semi-Riemannian manifolds

D Perrone - Canadian Mathematical Bulletin, 2014 - cambridge.org
In this paper we characterize K-contact semi-Riemannian manifolds and Sasakian semi-
Riemannian manifolds in terms of curvature. Moreover, we show that any conformally flat K …

Geometry of almost Ricci solitons on paracontact metric manifolds

A Ali, F Mofarreh, DS Patra - Quaestiones Mathematicae, 2022 - Taylor & Francis
The purpose of this article is to investigate almost Ricci solitons on para-contact manifolds.
We demonstrate that a gradient almost Ricci soliton whose metric is para-sasakian turns into …

Certain results on almost contact pseudo-metric manifolds

V Venkatesha, DM Naik, MM Tripathi - Journal of Geometry, 2019 - Springer
We study the geometry of almost contact pseudo-metric manifolds in terms of tensor fields
h:= 1 2\pounds _ ξ φ h:= 1 2£ ξ φ and ℓ:= R (⋅, ξ) ξ ℓ:= R (·, ξ) ξ, emphasizing analogies and …

On the standard nondegenerate almost CR structure of tangent hyperquadric bundles

D Perrone - Geometriae Dedicata, 2016 - Springer
The tangent bundle TM of a semi-Riemannian manifold (M, g) admits a natural indefinite
almost Kaehler structure (J, G) and the unit tangent hyperquadric bundle T_ ε (M, g) T ε (M …