Biharmonic Hypersurfaces in 4-Dimensional Space Forms

2007/09/13 by A. Balmuş, Balmuş, A., S. Montaldo +5 · 1 citation
Mathematics · #58E20 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematics and Applications #math.DG #msc:58E20

paper · pdf · doi:10.48550/arxiv.0709.2023

10 pages

arxiv created 2007/09/13 · openalex publication_date 2007/09/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces in 4-dimensional space forms.

Citations

• Harmonic Mappings of Riemannian Manifolds

Cited by

• Classification of biharmonic Riemannian submersions from manifolds with constant sectional curvature

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