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Sasakian structures on products of real line and K\"{a}hlerian manifold
Gherici Beldjilali,Ahmed Mohammed Cherif,Kaddour Zaga 강원경기수학회 2019 한국수학논문집 Vol.27 No.4
In this paper, we construct a Sasakian manifold by the product of real line and K\"{a}hlerian manifold with exact K\"{a}hler form. This result demonstrates the close relation between Sasakian and K\"{a}hlerian manifold with exact K\"{a}hler form. We present an example and an open problem.
GOLDEN PARA-CONTACT METRIC MANIFOLDS
Beldjilali, Gherici,Bouzir, Habib Korean Mathematical Society 2022 대한수학회논문집 Vol.37 No.4
The purpose of the present paper is to introduce a new class of almost para-contact metric manifolds namely, Golden para-contact metric manifolds. Then, we are particularly interested in a more special type called Golden para-Sasakian manifolds, where we will study their fundamental properties and we present many examples which justify their study.
Gherici Beldjilali,Nour Oubbiche 대한수학회 2023 대한수학회논문집 Vol.38 No.2
The aim of this paper is two-fold. First, we study the Chinea-Gonzalez class $C_{12}$ of almost contact metric manifolds and we discuss some fundamental properties. We show there is a one-to-one correspondence between $C_{12}$ and K\"ahlerian structures. Secondly, we give some basic results for Riemannian curvature tensor of $C_{12}$-manifolds and then establish equivalent relations among $\varphi$-sectional curvature. Concrete examples are given.