A special class of holomorphic mappings and the Faddeev-Hopf model

2008/02/12 by Radu Slobodeanu, Slobodeanu, Radu
Mathematics · Physics and Astronomy · #31B30 #53C15 #53C43 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0802.1626

openalex publication_date 2008/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Pseudo horizontally weakly conformal maps extend both holomorphic and (semi)conformal maps into an almost Hermitian manifold. We find in this larger class critical points for the (generalized) Faddeev-Hopf energy. Their stability is also discussed in some cases.

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