Geodesic
Supplement on curved flats in the space of point pairs and isothermic surfaces: A quaternionic calculus
Documenta mathematica, Tome 2 (1997), pp. 335-350.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A quaternionic calculus for surface pairs in the conformal 4-sphere is elaborated. It introduces a rich algebraic structure and allows the use of global frames while, at the same time, incorporates the classical "geometric" model of Möbius geometry providing geometric clarity. This way, it provides the foundation for the development of new techniques in Möbius differential geometry.
Classification : 53A10, 53A50, 53C42
Keywords: isothermic surface, Darboux transformation, Christoffel transformation, Goursat transformation, curved flat, constant mean curvature, Weierstrass representation 
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     author = {Hertrich-Jeromin, Udo},
     title = {Supplement on curved flats in the space of point pairs and isothermic surfaces: {A} quaternionic calculus},
     journal = {Documenta mathematica},
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     publisher = {mathdoc},
     volume = {2},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a2/}
}
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Hertrich-Jeromin, Udo. Supplement on curved flats in the space of point pairs and isothermic surfaces: A quaternionic calculus. Documenta mathematica, Tome 2 (1997), pp. 335-350. http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a2/