A \(tt^*\)-bundle associated with a harmonic map from a Riemann surface into a sphere

DOI10.1016/j.difgeo.2012.04.003zbMath1250.53062OpenAlexW2015792576WikidataQ115356721 ScholiaQ115356721MaRDI QIDQ428913

Katsuhiro Moriya, Sanae Kurosu

Publication date: 25 June 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2012.04.003

zbMATH Keywords

harmonic map\(tt^*\)-bundlethe Clifford algebra

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Differential geometric aspects of harmonic maps (53C43)

Related Items (2)

Isoparametric surfaces and the \(\mathrm{tt}^\ast\)-equations ⋮ Polar varieties and bipolar surfaces of minimal surfaces in the \(n\)-sphere

Cites Work

• Unnamed Item
• The \(tt^*\) structure of the quantum cohomology of \(\mathbb C P^1\) from the viewpoint of differential geometry
• All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions
• Topological--anti-topological fusion.
• Weierstrass type representation of harmonic maps into symmetric spaces
• Meromorphic potentials and smooth surfaces of constant mean curvature
• Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic \(2\)-tori.
• Geometry and integrability of topological-antitopological fusion
• Harmonic bundles, topological-antitopological fusion and the related pluriharmonic maps
• \(tt^*\)-geometry and pluriharmonic maps
• Another Report on Harmonic Maps

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