Supplement on Curved flats in the space of point pairs and Isothermic surfaces: A Quaternionic Calculus

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dc.creatorHertrich-Jeromin, Udo
dc.date1997-09-24
dc.date.accessioned2026-07-07T09:13:20Z
dc.date.available2026-07-07T09:13:20Z
dc.descriptionA quaternionic calculus for surface pairs in the conformal 4-sphere is elaborated. This calculus is then used to discuss the relation between curved flats in the symmetric space of point pairs and Darboux and Christoffel pairs of isothermic surfaces. A new viewpoint on relations between surfaces of constant mean curvature in certain space forms is presented --- in particular, a new form of Bryant's Weierstrass type representation for surfaces of constant mean curvature 1 in hyperbolic 3-space is given.
dc.description14 pages, Plain TeX
dc.identifierhttps://arxiv.org/abs/dg-ga/9709019
dc.identifierhttp://arxiv.org/abs/dg-ga/9709019
dc.identifierDoc. Math. J. DMV 2, 335-350 (1997)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152292
dc.subjectDifferential Geometry
dc.titleSupplement on Curved flats in the space of point pairs and Isothermic surfaces: A Quaternionic Calculus
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