### Abstract

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 | |

Publication status | Published - 2001 |

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### Cite this

*Annals of Global Analysis and Geometry*,

*19*(2), 185-205. https://doi.org/10.1023/A:1010738712475

**Möbius geometry of surfaces of constant mean curvature 1 in hyperbolic space.** / Hertrich-Jeromin, U; Musso, E; Nicolodi, L.

Research output: Contribution to journal › Article

*Annals of Global Analysis and Geometry*, vol. 19, no. 2, pp. 185-205. https://doi.org/10.1023/A:1010738712475

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TY - JOUR

T1 - Möbius geometry of surfaces of constant mean curvature 1 in hyperbolic space

AU - Hertrich-Jeromin, U

AU - Musso, E

AU - Nicolodi, L

PY - 2001

Y1 - 2001

N2 - 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.

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

VL - 19

SP - 185

EP - 205

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

SN - 0232-704X

IS - 2

ER -