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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …