Isometric immersions into warped product spaces

DOI10.1007/s10114-010-0061-9zbMath1228.53068OpenAlexW1998958202MaRDI QIDQ627557

Qun Chen, Cai Rong Xiang

Publication date: 2 March 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-0061-9

zbMATH Keywords

hypersurfaceswarped product spaces

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (4)

A fundamental theorem for hypersurfaces in semi-Riemannian warped products ⋮ Minimal Kähler submanifolds in product of space forms ⋮ On Isometric Immersions of Null Manifolds into Semi-Riemannian Space Forms of Arbitrary Index ⋮ A Bonnet theorem for submanifolds into rotational hypersurfaces

Cites Work

• Unnamed Item
• Unnamed Item
• A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
• Isometric immersions into 3-dimensional homogeneous manifolds
• Complete Riemannian manifolds with imaginary Killing spinors
• A new approach to the fundamental theorem of surface theory, by means of the Darboux-Vallée-Fortuné compatibility relation
• Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces
• On isometric immersions of riemannian manifolds
• Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
• CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
• Manifolds of Negative Curvature

This page was built for publication: Isometric immersions into warped product spaces