Tzitzéica transformation is a dressing action

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dc.creatorWang, Erxiao
dc.date2006-05-15
dc.date.accessioned2026-07-07T07:14:15Z
dc.date.available2026-07-07T07:14:15Z
dc.descriptionWe classify the simplest rational elements in a twisted loop group, and prove that dressing actions of them on proper indefinite affine spheres give the classical Tzitzéica transformation and its dual. We also give the group point of view of the Permutability Theorem, construct complex Tzitzéica transformations, and discuss the group structure for these transformations.
dc.identifierhttps://arxiv.org/abs/math/0605404
dc.identifierhttp://arxiv.org/abs/math/0605404
dc.identifierJ. Math. Phys. 47, 053502 (2006)
dc.identifierdoi:10.1063/1.2195527
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112799
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53A15, 37K, 22E67
dc.titleTzitzéica transformation is a dressing action
dc.typetext

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