An overview of the various transformations of isothermic surfaces and their interrelations is given using a quaternionic formalism. Applications to the theory of cmc-1 surfaces in hyperbolic space are given and relations between the two theories are discussed. Within this context, we give Möbius geometric characterizations for cmc-1 surfaces in hyperbolic space and their minimal cousins.
Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space / HERTRICH JEROMIN, U.; Musso, E.; Nicolodi, Lorenzo. - In: ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. - ISSN 0232-704X. - 19:2(2001), pp. 185-205. [10.1023/A:1010738712475]
Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space
NICOLODI, Lorenzo
2001-01-01
Abstract
An overview of the various transformations of isothermic surfaces and their interrelations is given using a quaternionic formalism. Applications to the theory of cmc-1 surfaces in hyperbolic space are given and relations between the two theories are discussed. Within this context, we give Möbius geometric characterizations for cmc-1 surfaces in hyperbolic space and their minimal cousins.File in questo prodotto:
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