On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps

DOI10.1007/s00025-011-0202-1zbMath1259.53028arXiv1012.0358OpenAlexW1998535821MaRDI QIDQ1936931

Nobutaka Boumuki, Josef F. Dorfmeister

Publication date: 8 February 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0358

zbMATH Keywords

potentialpluri-harmonic mappluriharmonic mappara-pluriharmonic maploop group method

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

• Loop group decompositions in almost split real forms and applications to soliton theory and geometry
• Constant mean curvature surfaces in Euclidean and Minkowski three-spaces
• Generalized DPW method and an application to isometric immersions of space forms
• Paracomplex structures and affine symmetric spaces
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• Weierstrass type representation of harmonic maps into symmetric spaces
• Pluriharmonic maps, loop groups and twistor theory
• Weierstrass-type representation for harmonic maps into general symmetric spaces via loop groups
• Initial value problems of the sine-Gordon equation and geometric solutions
• \(tt^*\)-bundles in para-complex geometry, special para-Kähler manifolds and para-pluriharmonic maps
• Sur le problème d'équivalence de certaines structures infinitésimales
• Real forms of complex surfaces of constant mean curvature
• Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
• Invariant Affine Connections on Homogeneous Spaces
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