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

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

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