On the nonexistence of harmonic and bi-harmonic maps

2020/04/16 by Ahmed Mohammed Cherif, Cherif, Ahmed Mohammed · 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.2004.08224

openalex publication_date 2020/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the existence of harmonic and bi-harmonic maps into Riemannian manifolds admitting a conformal vector field, or a nontrivial Ricci solitons.

Citations

• Harmonic Mappings of Riemannian Manifolds

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• Ricci Solitons on the Lie Group Sol³_m,n and Applications

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