Title: Explicit constructions of J_2-holomorphic twistor lifts
Abstract: We construct J_2-holomorphic twistor lifts of all nilconformal harmonic maps
from a Riemann surface into real, complex and quaternionic Grassmannians, and
into the symmetric spaces SO(2m)/U(m) and Sp(m)/U(m). In the case of harmonic
maps of finite uniton number, we give algebraic formulae in terms of
holomorphic data which describes their extended solutions. In particular, this
gives all maps into the relevant twistor spaces which are holomorphic with
respect to their non-integrable almost complex structures J_2.
Publication Year: 2011
Publication Date: 2011-06-09
Language: en
Type: article
Access and Citation
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot