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

U Hertrich-Jeromin; E Musso; L Nicolodi

doi:10.1023/A:1010738712475

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

U Hertrich-Jeromin, E Musso, L Nicolodi

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

21 Citations (SciVal)

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 language	English
Pages (from-to)	185-205
Number of pages	21
Journal	Annals of Global Analysis and Geometry
Volume	19
Issue number	2
DOIs	https://doi.org/10.1023/A:1010738712475
Publication status	Published - 2001

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title = "M{\"o}bius geometry of surfaces of constant mean curvature 1 in hyperbolic space",

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 M{\"o}bius geometric characterizations for cmc-1 surfaces in hyperbolic space and theirminimal cousins.",

author = "U Hertrich-Jeromin and E Musso and L Nicolodi",

year = "2001",

doi = "10.1023/A:1010738712475",

language = "English",

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journal = "Annals of Global Analysis and Geometry",

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AU - Hertrich-Jeromin, U

AU - Musso, E

AU - Nicolodi, L

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AB - 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.

UR - http://dx.doi.org/10.1023/A:1010738712475

U2 - 10.1023/A:1010738712475

DO - 10.1023/A:1010738712475

M3 - Article

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VL - 19

SP - 185

EP - 205

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

IS - 2

ER -

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

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