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

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.

13 pages. The proof of Proposition 3.4 has been corrected

References in corpus (3)

• Holomorphicity and Walczak formula on Sasakian manifolds
• Harmonic morphisms between Weyl spaces and twistorial maps II
• Some classifications of \infty-Harmonic maps between Riemannian manifolds

Cited by in corpus (2)

• On a stability property of Skyrme-related energy functionals
• Some global minimizers of a symplectic Dirichlet energy