A New Type Warped Product Metric in Contact Geometry

2021/06/08 by Ahmet MOLLAOĞULLARI, Mollaogullari, Ahmet, Çetin Camcı +1
Mathematics · #32Q15 #53B35 #53D10 #53D15 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2106.04438

openalex publication_date 2021/06/08 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28

Abstract

In this study, we show that there is an α-Sasakian structure on product manifold M₁× β(I) where M₁ is a Kaehlerian manifold that has exact 1-form and β(I) is an open curve. After then, we define a new type warped product metric to study the warped product of almost Hermitian manifolds with almost contact metric manifolds.

Related

• Warped Product Pointwise Semi-slant Submanifolds of Almost Contact Manifolds
• Warped Product Pointwise Bi-slant Submanifolds of Kaehler Manifolds
• Characterization of Sasakian manifolds
• Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds
• Contact Structure on the Indicatrix Bundle of Finslerian Warped Product Manifolds