Möbius geometry of surfaces of constant mean curvature 1 in hyperbolic space

U Hertrich-Jeromin, E Musso, L Nicolodi

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

An overview of the various transformations of isothermic surfaces and their interrelations is given using aquaternionic formalism. Applications to the theory of cmc-1 surfaces inhyperbolic 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 theirminimal cousins.
Original languageEnglish
Pages (from-to)185-205
Number of pages21
JournalAnnals of Global Analysis and Geometry
Volume19
Issue number2
DOIs
Publication statusPublished - 2001

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