Almost Hermitian Structures From Almost Contact Metric Manifolds and Their Curvature Properties

Year 2024, Volume: 12 Issue: 1, 5 - 12, 30.04.2024

Nilüfer Özdemir , Şirin Aktay , Mehmet Solgun

Abstract

In this manuscript, we consider almost Hermitian manifolds and almost contact metric manifolds. We construct almost Hermitian manifolds from the product of almost contact metric manifolds with $\mathbb{R}$ by warped product. Depending on the function of warped product, we investigate the curvature properties of the almost Hermitian manifolds obtained in this way. In particular, we study Einstein almost Hermitian manifolds obtained from Einstein almost contact metric manifolds. In addition, we study the relationships between some classes of almost contact metric manifolds and almost Hermitian manifolds.

Keywords

almost contact metric structure, almost Hermitian structure, curvature, Einstein manifold, product manifold, warped product

Ethical Statement

It is declared that during the preparation process of this study, scientific and ethical principles were followed and all the studies benefited from are stated in the bibliography.

Supporting Institution

No grants were received from any public, private or non-profit organizations for this research.

Thanks

The authors would like to express their sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions.

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