GENERALIZED SASAKIAN SPACE FORMS ON W<sub>0</sub>-CURVATURE TENSOR

Tu˘gba Mert; Mehmet Atc¸eken

호남수학회 호남수학학술지 GENERALIZED SASAKIAN SPACE FORMS ON W₀-CURVATURE TENSOR

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GENERALIZED SASAKIAN SPACE FORMS ON W₀-CURVATURE TENSOR

( Tu˘gba Mert ) , ( Mehmet Atc¸eken )

호남수학회 2023.06

호남수학학술지 vol. 45 iss. 2 215-230(16pages)

UCI I410-ECN-151-24-02-088691636

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Abstract

In this article, generalized Sasakian space forms are investigated on W₀ -curvature tensor. Characterizations of generalized Sasakian space forms are obtained on W₀-curvature tensor. Special curvature conditions established with the help of Riemann, Ricci, concircular, projective curvature tensors are discussed on W₀-curvature tensor. With the help of these curvature conditions, important characterizations of generalized Sasakian space forms are obtained. In addition, the concepts of W₀-pseudosymmetry and W₀ -Ricci pseudosymmetry are defined and the behavior according to these concepts for the generalized Sasakian space form is examined.

Keywords

W<sub>0</sub>-curvature tensors

pseudosymmetric manifold

Sasakian space forms

Table of Contents

1. Introduction
2. Preliminary
3. Generalized Sasakian Space Forms On W<sub>0</sub>- Curvature Tensor
4. W<sub>0</sub>-Pseudosymmetric And W<sub>0</sub>-Ricci Pseudosymmetric Generalized Sasakian Space Form
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