Weierstrass-type Representation of Weakly Regular Pseudospherical Surfaces in Euclidean Space

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dc.creatorToda, Magdalena
dc.date2003-07-20
dc.date.accessioned2026-07-07T04:59:47Z
dc.date.available2026-07-07T04:59:47Z
dc.descriptionThe paper presents a generalized Weierstrass representation for pseudospherical surfaces in terms of 3x3 matrices, using moving frames and loop group decompositions. The construction of all such surfaces, starting from a given representation, constitutes the subject of a separate, ulterior report. The appendix of the present work gives an elementary proof of the Birkhoff decomposition theorem for "loop-groups" of spectral parameter based on the real line, instead of the unit circle.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0307272
dc.identifierhttp://arxiv.org/abs/math/0307272
dc.identifierBalkan Journal of Geometry and Its Applications, Vol. 7, No. 2, 2002, pp. 87-136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68128
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A10, 53C42, 58D10,49Q05
dc.titleWeierstrass-type Representation of Weakly Regular Pseudospherical Surfaces in Euclidean Space
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