Polyharmonic maps of order k with finite L^p k-energy into Euclidean spaces

2013/08/02 by Shun Maeta, Maeta, Shun
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #primary 58E20 #secondary 53C43

paper · pdf · doi:10.48550/arxiv.1308.0420

openalex publication_date 2013/08/02 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We consider polyharmonic maps ϕ:(M,g)→ 𝔼ⁿ of order k from a complete Riemannian manifold into the Euclidean space and let p be a real constant satisfying 1

Citations

• Recent developments of biharmonic conjecture and modified biharmonic conjectures
• On biharmonic submanifolds in non-positively curved manifolds

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• Polyharmonic maps into the Euclidean space
• Existence of polyharmonic maps in critical dimensions
• On conservation laws for polyharmonic maps
• Some classifications of conformal biharmonic and k-polyharmonic maps
• On lengths, areas and Lipschitz continuity of polyharmonic mappings