Warped Product Conformal Kahler Manifolds and Kenmotsu Structures

2012/06/13 by Hassan Attarchi, Attarchi, H., M. M. Rezaii +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1206.2766

openalex publication_date 2012/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the condition on warped product manifold of a Kenmotsu manifold and the real line to be a conformal Kahler manifold. This result demonstrates the close relation of Kenmotsu and Kahler manifolds.

Citations

• Warped product Kähler manifolds and Bochner–Kähler metrics
• Riemannian Geometry of Contact and Symplectic Manifolds
• Manifolds of negative curvature

Related

• On warped product submanifolds of Kenmotsu manifolds
• Warped product pointwise bi-slant submanifolds of Kenmotsu manifolds
• On the existence of proper Nearly Kenmotsu manifolds
• Conformal product structures on compact Kähler manifolds
• Another class of warped product skew CR-submanifolds of Kenmotsu manifolds