Harmonic maps and biharmonic Riemanian submersions

2018/09/28 by Hajime Urakawa, Urakawa, Hajime
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Dermatological and Skeletal Disorders #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #primary 58E20 #secondary 53C43

paper · pdf · doi:10.48550/arxiv.1809.10814

openalex publication_date 2018/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Characterizations for Riemannian submersions to be harmonic or biharmonic are shown. Examples of biharmonic but not harmonic Riemannian submersions are shown.

Related

• Classification of biharmonic Riemannian submersions from manifolds with constant sectional curvature
• Harmonic and biharmonic Riemannain submersions from Sol space
• A short survey on biharmonic Riemannian submersions
• Biharmonic maps into a Riemannian manifold of non-positive curvature
• Biharmonic Riemannian submersions