Isothermic submanifolds of symmetric R-spaces

DOI10.1515/CRELLE.2011.075zbMath1245.53049arXiv0906.1692OpenAlexW3102915164MaRDI QIDQ3103810

Francis E. Burstall, Ulrich Pinkall, Neil M. Donaldson, Franz J. Pedit

Publication date: 12 December 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1692

zbMATH Keywords

symmetric spacessubmanifoldsisothermic surfacessymmetric \(R\)-spacespencil of flat connections

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Simple, semisimple, reductive (super)algebras (17B20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (13)

Quartic differentials and harmonic maps in conformal surface geometry ⋮ Generalised Bianchi permutability for isothermic surfaces ⋮ Infinitesimal Darboux transformation and semi-discrete MKDV equation ⋮ On transforms of timelike isothermic surfaces in pseudo-Riemannian space forms ⋮ Discrete Ω$\Omega$‐nets and Guichard nets via discrete Koenigs nets ⋮ Periodic discrete Darboux transforms ⋮ Semi-discrete isothermic surfaces ⋮ Formal conserved quantities for isothermic surfaces ⋮ Polynomial conserved quantities of Lie applicable surfaces ⋮ Circles in self dual symmetric \(R\)-spaces ⋮ Covariant description of isothermic surfaces ⋮ Minimal surfaces under constrained Willmore transformation ⋮ DISCRETE LINEAR WEINGARTEN SURFACES

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