Almost complex structures that are harmonic maps

2015/04/07 by Davidov, Johann, Haq, Absar Ul, Mushkarov, Oleg
#53C28 (Secondary) #53C43 (Primary) #58E20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.01610

Abstract

We find geometric conditions on a four-dimensional almost Hermitian manifold under which the almost complex structure is a harmonic map or a minimal isometric imbedding of the manifold into its twistor space.

Related

• Harmonic almost Hermitian structures
• Curvature and integrability of almost complex structures
• Twistorial construction of minimal hypersurfaces
• Harmonic Hermitian structures on Riemannian manifolds with skew-torsion
• Harmonic morphisms between Weyl spaces and twistorial maps II