Dressing preserving the fundamental group

J. Dorfmeister; M. Kilian

doi:10.1016/j.difgeo.2005.06.001

Dressing preserving the fundamental group

J. Dorfmeister
, M. Kilian

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

Abstract

In this note we consider the relationship between the dressing action and the holonomy representation in the context of constant mean curvature surfaces. We characterize dressing elements that preserve the topology of a surface and discuss dressing by simple factors as a means of adding bubbles to a class of non-finite type cylinders.

Original language	English
Pages (from-to)	176-204
Number of pages	29
Journal	Differential Geometry and its Application
Volume	23
Issue number	2
DOIs	https://doi.org/10.1016/j.difgeo.2005.06.001
Publication status	Published - Sep 2005
Externally published	Yes

Keywords

Constant mean curvature surfaces
Dressing
Generalized Weierstraß representation

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10.1016/j.difgeo.2005.06.001

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title = "Dressing preserving the fundamental group",

abstract = "In this note we consider the relationship between the dressing action and the holonomy representation in the context of constant mean curvature surfaces. We characterize dressing elements that preserve the topology of a surface and discuss dressing by simple factors as a means of adding bubbles to a class of non-finite type cylinders.",

keywords = "Constant mean curvature surfaces, Dressing, Generalized Weierstra{\ss} representation",

author = "J. Dorfmeister and M. Kilian",

year = "2005",

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doi = "10.1016/j.difgeo.2005.06.001",

language = "English",

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AB - In this note we consider the relationship between the dressing action and the holonomy representation in the context of constant mean curvature surfaces. We characterize dressing elements that preserve the topology of a surface and discuss dressing by simple factors as a means of adding bubbles to a class of non-finite type cylinders.

KW - Constant mean curvature surfaces

KW - Dressing

KW - Generalized Weierstraß representation

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DO - 10.1016/j.difgeo.2005.06.001

M3 - Article

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SN - 0926-2245

VL - 23

SP - 176

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JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

IS - 2

ER -

Dressing preserving the fundamental group

Abstract

Keywords

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