Biharmonic space-like hypersurfaces in pseudo-Riemannian space
Wei Zhang
TL;DR
This paper classifies space-like biharmonic surfaces in 3D pseudo-Riemannian space forms and constructs explicit examples of proper biharmonic hypersurfaces in anti-de Sitter space, advancing understanding of biharmonic geometry.
Contribution
It provides a complete classification of space-like biharmonic surfaces in 3D pseudo-Riemannian space forms and constructs explicit examples in anti-de Sitter space.
Findings
Classification of space-like biharmonic surfaces in 3D pseudo-Riemannian space forms
Explicit examples of proper biharmonic hypersurfaces in ADS space
Advancement in understanding biharmonic hypersurfaces in pseudo-Riemannian geometry
Abstract
We classify the space-like biharmonic surfaces in 3-dimension pseudo-Riemannian space form, and construct explicit examples of proper biharmonic hypersurfaces in general ADS space.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds