A. Zagane

activity

20232026

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math.DG2026

Biharmonic and Interpolating Sesqui-Harmonic Vector Fields with Respect to the varphi-Sasakian Metric

Abderrahim Zagane, Kheireddine Biroud, Medjahed Djilali

This work investigates biharmonic and interpolating sesqui-harmonic vector fields on the tangent bundle of a para-Kähler--Norden manifold (M, varphi, g) endowed with the varphi-Sas…

math.DG2025

Exploring certain geometric and harmonic properties of the Berger-type metric conformal deformation on the Para-Kähler-Norden manifold

Abderrahim Zagane, Fethi Latti

This work presents a novel class of metrics on a para-Kähler-Norden manifold $(M^{2 m}, F, g)$ , derived from a conformal deformation of the Berger-type metric associated with the metr…

math.DG2024

Exploring the Cauchy-Riemann structure and integrability conditions of $F$ -structures satisfying $α F^{K + 1} + β F^{K} + F = 0$

Abderrahim Zagane

This work introduces a new class of $F$ -structures satisfying $α F^{K + 1} + β F^{K} + F = 0$ , where $K$ is a positive integer, $K \geq 3$ , and $α, β$ are real or complex numbers. We invest…

math.DG2023

Geodesics and $F$ -geodesics on tangent bundle with $φ$ -Sasaki metric over para-Kähler-Norden manifold

Abderrahim Zagane

In this paper, we investigate some geodesics and $F$ -geodesics problems on tangent bundle and on $φ$ -unit tangent bundle $T_{1}^{φ} M$ equipped with the $φ$ -Sasaki metric over para-Kä…

Biharmonic and Interpolating Sesqui-Harmonic Vector Fields with Respect to the varphi-Sasakian Metric

Exploring certain geometric and harmonic properties of the Berger-type metric conformal deformation on the Para-Kähler-Norden manifold

Exploring the Cauchy-Riemann structure and integrability conditions of F-structures satisfying αFK+1+βFK+F=0

Geodesics and F-geodesics on tangent bundle with φ-Sasaki metric over para-Kähler-Norden manifold

Exploring the Cauchy-Riemann structure and integrability conditions of $F$ -structures satisfying $α F^{K + 1} + β F^{K} + F = 0$

Geodesics and $F$ -geodesics on tangent bundle with $φ$ -Sasaki metric over para-Kähler-Norden manifold