n-Harmonicity, Minimality, Conformality and Cohomology

2023/02/27 by Bang‐Yen Chen, Chen, Bang-Yen, Shihshu Walter Wei +1
Mathematics · #58E20 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Primary 31B35 #Secondary 53C40

paper · pdf · doi:10.48550/arxiv.2302.14019

openalex publication_date 2023/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By studying cohomology classes that are related with n-harmonic morphisms and F-harmonic maps, we augment and extend several results on F-harmonic maps, harmonic maps in [1, 3, 14], p-harmonic morphisms in [17], and also revisit our previous results in [9, 10, 21] on Riemannian submersions and n-harmonic morphisms which are submersions. The results, for example Theorem 3.2 obtained by utilizing the n-conservation law (2.6), are sharp.

Related

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