Conformal Deformation of Warped Products and Scalar Curvature Functions on Open Manifolds

1996/04/07 by Man Chun Leung, Leung, Man Chun · 1 citation
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.dg-ga/9604001

openalex publication_date 1996/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss conformal deformation and warped products on some open manifolds. We discuss how these can be applied to construct Riemannian metrics with specific scalar curvature functions.

Cited by

• Uniqueness of Positive Solutions of the Conformal Scalar Curvature Equation and Applications to Conformal Transformations

Related

• On the geometry of Riemannian warped product maps
• Conformal Warped Product Submersion
• Conformally Einstein product spaces
• Conformal product structures on compact Einstein manifolds
• Higher Fundamental Forms and Warped Product Hypersurfaces